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Andy Said:

is it mandatory to register my car to a new state or is it fine to just renew it to my former state?

We Answered:

Legally you must register it.
read this:

New to Maryland Titling and Registering Your Vehicle Information
As a new resident of Maryland you must register your vehicle within 60 days of moving to Maryland. If you delay beyond 60 days, you will not be eligible for a tax credit for any titling tax paid in another state, and you may be subject to a citation for an out of state registration.

Please Note: If an owner of a vehicle originally titled in Maryland obtains a title for the vehicle in another state in the same name, and returns to Maryland, it may be registered by surrendering the foreign title and securing a Duplicate Maryland Title. There is a fee for a duplicate title.


Titling Your Vehicle

You can apply for a Maryland title, and registration, in person at any of the MVA's full service branch offices. You also can mail the documents to the MVA’s Out-of-State Title Unit, 6601 Ritchie Highway, Glen Burnie, MD 21062, or go to an MVA licensed tag and title service where they will assist you in applying.