For the last two nights around 9 or 10pm I have not been able to get Opera Mini or WebMessenger to work. It only seems to happen at night. Is there something wrong with my phone or what?

Have you tried a bettery pull with the BB powered on, leave it off for a few minutes and put it back on.

No I have not tried that. Is there a reason this is only happening late at night? I seem to have enough service bars.

might just be service maint. carriers usually do this late at night to avoid problems during peak hours. try calling your service provider to see if they're doing anything, and maybe you can even speak to their blackberry tech support.