Okay, you will need to renew your registration before it expires.  Renewing early will not change the new expiration date for your new registration
how long does it take to get the new registration?
The new registration documents will arrive in the mail in about 10 days
how do I go about registering if I am eligible for a 'no fee' registration?
You will need to renew at a DMV office and you will need to bring documentation to prove you are eligible for exempt status.
will there be a problem if I have a new name? can I still do it online or do I have to walk in to a DMV with proof?
You can still renew online but the new document will display your previous name. You won't be able to change your name during the online transaction, but we can give you information on how to change your name on a registration or title.
Did you know you will receive a temporary registration while you wait for your new registration documents to arrive in the mail?
yes
so I can't register online while I have an exempt registration fee?