I hope you are enjoying your new DROID RAZR! I've got an awesome tool here that will walk you through proper email set up and many other tasks to ensure top performance from your device! Please advise the progress of your email set up. Since you have had issues, I would remove them by going to Settings>Accounts>Tap on appropriate account>Remove.
I had the same problem with mine when I first got it. For some reason when the VZW tech activated my phone and attempted to setup my already established gmail account he did something wrong. The only way, and you don't want to hear this probably, I got the problem fixed was to do a Factory Reset because you can't delete your gmail account and start over...only a Factory Reset fixed my problem
actually, there is another way for Google.
Step one: go to my accounts
Step two: Click Google and create a new Google account.
Step three: make sure you sync that
Step four: Go to my accounts, click on original account that was set up incorrectly and click "Remove"
Then you can repeat steps two through four, adding back in the correct account, and deleting the second one you created.
FYI this also corrects Calender sync issues