Usually the first place to look is your ISP help pages or the support section of the hardware you are using.
If you can provide some information
1. which router are you using
2. Operating system.
Worth checking Zone alarm website as some updates can cause problems.
Check the program permissions in Zone Alarm.
Little or no connectivity may point to you having to create a new connection from control panel, network connections. Use the 'make new connection' wizard...