Every morning I had to let the computer update the Avast settings before use
What do you mean with this ?
I forgot my old laptop (which I have not turned on) had an auto renew setup for Avast.
The subscription will auto-renew if you have chosen that when buying it. You could have/can disable it anytime you want through your avast account.
Since I purchased the new laptop I did not get the full value of my Avast license for the rest of 2016.
Yes you did. A license is valid for the time you purchased it. Only thing you had to do was remove avast from the old system. Remove the old system from your avast account. Install avast on the new system and apply the license file.
I have sent two separate email requests via the Avast website with request to refund the charge for 2017.
That was a mistake on your part. avast is using a FiFo system, which means every time you submit a new ticket shortly after the previous one will put you back to the bottom of the stack which means you need to start to count the waiting time from scratch.
There policy clearly states you can ask for refund within 30 days
That is correct. If you ask for a refund and are entitled to it, you will get it. Asking once for it is enough. After asking, you just need to have some patience. avast is handling tickets within 1-5 business days (time depends if there are holidays, how busy it is and such)
I have started leaving reviews of this horrible service on review sites and will not stop until I have my money back.
Please be honest and also mention that most things are only to blame on yourself.