Avast keeps blocking websites that trying to access iexplorer.exe. Logs attached.
The last log file.
The FRST will kill the alerts
CAUTION : This fix is only valid for this specific machine, using it on another may break your computer
Open notepad and copy/paste the text in the quotebox below into it:
HKU\S-1-5-21-480639757-3491412307-977320134-1002\...A8F59079A8D5}\localserver32: rundll32.exe javascript:"\..\mshtml,RunHTMLApplication ";eval("epdvnfou/xsjuf)(=tdsjqu!mbohvbhf>ktds (the data entry has 239 more characters). <==== Poweliks! SearchScopes: HKLM -> {0633EE93-D776-472f-A0FF-E1416B8B2E3A} URL = SearchScopes: HKLM-x32 -> {0633EE93-D776-472f-A0FF-E1416B8B2E3A} URL = SearchScopes: HKU\.DEFAULT -> DefaultScope {E884FDDF-C26C-4136-B081-AAD9BF2FFF94} URL = BHO: No Name -> {DBC80044-A445-435b-BC74-9C25C1C588A9} -> No File BHO-x32: No Name -> {02478D38-C3F9-4efb-9B51-7695ECA05670} -> No File 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00032492.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00031876.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00031468.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00031433.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00031173.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00030613.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00027459.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00027203.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00027022.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00026668.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00026448.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00023901.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00022978.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00021153.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00020438.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00015661.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00014950.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00014825.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00013680.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00013615.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00011422.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00010431.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00007517.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00006756.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00004202.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00003984.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00003327.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00003037.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00001323.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00001123.tmp 2014-11-19 14:00 - 2014-11-19 14:00 - 01176168 ____T () C:\Windows\SysWOW64\00000606.tmp 2014-11-19 13:59 - 2014-11-19 13:59 - 40034920 ____T () C:\Windows\SysWOW64\00027252.tmp 2014-11-19 13:59 - 2014-11-19 13:59 - 40034920 ____T () C:\Windows\SysWOW64\00006832.tmp 2014-11-19 13:59 - 2014-11-19 13:59 - 40034920 ____T () C:\Windows\SysWOW64\00000049.tmp 2014-11-10 17:11 - 2014-11-10 17:12 - 00000000 ____D () C:\ProgramData\Windows Genuine Advantage CustomCLSID: HKU\S-1-5-21-480639757-3491412307-977320134-1002_Classes\CLSID\{AB8902B4-09CA-4bb6-B78D-A8F59079A8D5}\localserver32 -> rundll32.exe javascript:"\..\mshtml,RunHTMLApplication ";eval("epdvnfou/xsjuf)(=tdsjqu!mbohvbhf>ktds (the data entry has 247 more characters). <==== Poweliks? EmptyTemp: CMD: bitsadmin /reset /allusers
Save this as fixlist.txt, in the same location as FRST.exe
Run FRST and press Fix
On completion a log will be generated please post that
THEN
Please download AdwCleaner by Xplode onto your desktop.
[*]Close all open programs and internet browsers.
[*]Double click on AdwCleaner.exe to run the tool.
[*]Click on Scan.
[*]After the scan is complete click on “Clean”
[*]Confirm each time with Ok.
[*]Your computer will be rebooted automatically. A text file will open after the restart.
[*]Please post the content of that logfile with your next answer.
[*]You can find the logfile at C:\AdwCleaner[S1].txt as well.
FINALLY
Download and run farbar service scanner
https://dl.dropboxusercontent.com/u/73555776/fssscan.JPG
Tick “All” options.
Press “Scan”.
It will create a log (FSS.txt) in the same directory the tool is run.
Please copy and paste the log to your reply.
The Avast warnings stopped for now. Three log files attached.
When you are happy let me know and I will tidy up
Thank you for your help. I will let you know in few days if any problem shows up again. Everything seems ok for now.
The laptop is working well and no more pop up warnings from Avast. Thank you very much for the help.
In that case methinks I will send you on your merry way 
Subject to no further problems
I will remove my tools now and give some recommendations, but, I would like you to run for 24 hours or so and come back if you have any problems
Now the best part of the day ----- Your log now appears clean 
A good workman always cleans up after himself so…The following will implement some cleanup procedures as well as reset System Restore points:
Remove tools
Download and run Delfix
https://dl.dropboxusercontent.com/u/73555776/delfix.JPG
: Keep Java Updated :
WARNING: Java is the #1 exploited program at this time. The Department of Homeland Security recommends that computer users disable Java
See this article
I would recommend that you completely uninstall Java unless you need it to run an important software.
In that instance I would recommend that you disable Java in your browsers until you need it for that software and then enable it. (See How to diasble Java in your web browser and How to unplug Java from the browser)
If you do need to keep Java then download JavaRa
Run the programme and select Remove Java Runtime. Uninstall all versions of Java present
Once done then run it again and select Update Java runtime > Download and install Latest version
https://dl.dropboxusercontent.com/u/73555776/javara.JPG
Now that you are clean, to help protect your computer in the future I recommend that you get the following free programmes:
CryptoPrevent install this programme to lock down and prevent crypto ransome ware
https://dl.dropboxusercontent.com/u/73555776/CryptoPrevent.JPG
Update and run weekly to keep your system clean
Click on the link above to be taken to Unchecky.com
click the very large Download button.
click Save
Click Open folder
Right click on the Unchecky_setup and choose to Run as Administrator
Once open click the Install button.
Then click on Finish
Unchecky is now installed and will help you keep unwanted check boxes unchecked, this is a fire and forget programme 
It is critical to have both a firewall and anti virus to protect your system and to keep them updated.
To learn more about how to protect yourself while on the internet read this little guide Best security practices Keep safe 
The computer has been working very well. No more warnings from Avast. I installed/run the programs you suggested. Thank you for the help.
Can you please tell me what kind of infection the computer had?
It was Poweliks downloader. At the moment no AV can clean this
http://www.symantec.com/security_response/writeup.jsp?docid=2014-080408-5614-99&tabid=2
Good thing we are using Avast. Thank you again for your quick help.
Aye, although Avast couldn’t kill it. it stopped it from going anywhere