I know that there is a limit to the size of the file (picture) that can be sent or received on a Verizon device. I believe it is 3mb. You can check to see if you can send or receive files by sending yourself a small (<500kb) file attached to a MMS. That would be my guess at this point.
Also, if you can't access the web also it may be due to you have the mobile network cut off through the manage options feature since mms rely on data and having that option cut off makes your phone unable to recieve data.