I was advised on the Remind mailing list that this is a tricky thing to do. It's best just to make 5 separate reminders:
REM July 4 2013 MSG Review REM August 4 2013 MSG Review REM November 4 2013 MSG Review REM July 4 2014 MSG Review REM July 4 2016 MSG Review
If someone figures out a way to do this within the Remind scripting language, let me know.
Thanks.