I've had interesting data issues as well. I remember my first launch of WPCentral said something like "unable to get Webform data" or something similar and the app was blank. Also since I'm tinkering with the phone non-stop right now, I've noticed that all of a sudden I have 7 new emails between two accounts but when I check them, 5 were many hours old.. but I can guarantee that I had no notifications until all 7 came in. Something feels wonky.
Also, call quality sucks at my location compared to ATT so far, but that's just a VZ complaint. Work made me switch
edit: ive had the data issues in quite a few apps... activating whatsapp was impossible at first. The IE link kept failing to connect and it would give some odd error when manually entering the SMS code.
edit 2: my email accounts are both set to push.