The malware name by all accounts isn't displayed in the chest when the file is sent there, right click on the file you mentioned, kav3[1].htm and select scan, that I'm sure will be the file detected as JS:Prontexi-N[Trj].
The JS:Prontexi-N[Trj] is most likely to have been in you browser cache files as this is the JS (javascript) bit probably inside the .htm file.
I doubt this has anything to do with your problem updating adaware. Personally I wouldn't wast hard disk space on adaware, much less update it. So I believe there is something else on your system either hidden or undetected.
What program do you mean when you say "I have tried uninstalling and reinstalling malware and it didnt work." MalwareBytes AntiMalware perhaps ?
When you moved the file to the chest, I wouldn't have expected avast to detect it any more.