I do not believe so if you answer the Ga. questions truthfully. I know Ga. will not give a license with a NJ suspension. they will not suspend a Ga. license for a first offense NJ DWI but you have to get the license before the suspension.
Yes, but only because you manage to reinstate your California license. That's not what you wanted to hear, but that's the only way to do it.
Hire an attorney in California to walk you through the process.
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If California is a member of the interstate compact that Georgia has signed -- you must have a valid drivers license in California before Georgia will give you a GA drivers license. This is probably not the answer you were looking for, but I believe it to be accurate. You should check with your attorney in California to see what is required to get your license cleared up there, Good Luck!
The information provided in this response to a question is not legal advise and is provided only for general information purposes. My response should not be taken as legal advise as no attorney / client representation exists. Additionally, the information given in this answer is specific to the State of Georgia only and should not be applied to any other state.