I'm having a similar problem whereby when I switch my laptop on in the morning my laptop tells me I'm connected to the interent via my wireless network connection only I can't access any websites. However when I unplug my wireless router and then plug it back in I can then access websites!
When using Auslogics Speedboost 4 and using the System Information section (Network) it shows a RED X by PROXY ENABLED, DNS ENABLED & ROUTING ENABLED.