The DropMyRights doesn’t restrict your administrator rights, it is applied to an application (you choose and set-up shortcuts to launch that application with restricted rights) and not the user. So installation won’t be effected since you have administrator rights.

avast will move any file that is infected to the chest if that is your decision. if it is in use windows will usually protect it. That is why regularly running the VRDB is advisable as the option to repair might well be available if that file was included in a previous VRDB scan.