Well firstly the windows (XP) firewall provides no outbound protection the (Vista) firewall has outbound protection disabled by default and as such shouldn't be blocking ashWebSv.exe). Check the Windows Security Center, it will say what firewall you have and if it is enabled.
I mean in a firewall with outbound protection, you can allow processes internet access. the ashWebSv.exe is the avast Web Shield, that filters http traffic so it can be scanned, block that and it appears that you have no internet.
We need detailed information to get an idea of how we might help, and 'the pop-ups' have taken over isn't very helpful, do they go to certain sites, adverts, what is the content, etc. ?
Why couldn't you uninstall AVG, what errors were displayed when you ran the tool I suggested ?
If you haven't downloaded the 2 applications I suggest you do it as a matter of urgency and follow the instructions above.
When you are in a hole it is best to stop digging, if you previously didn't adjust the security settings, then that is unlikely to be the cause of the problem.