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While joining as an officer is not technically enlistment, the codes you reference are considered a bar to reenlistment.
That would require a waiver from the TJAG for you to be able to join, for any branch of the service. Now, having had to have a waiver myself for other reasons, I will say that if they want you badly enough, they'll make a way. That being said, my need was based on an age issue and not a misconduct separation.
The current application process for joining the service as a JAG is stringent and very competitive. Statistically, it's been harder to get into the JAG of any branch for the last few years than in getting into many Ivy league schools.
It is fair to say that your former service issues would be a major hurdle and, with the military shrinking right now, one that I would think insurmountable.