Can you renew a Permanent Residence card after getting a deserter status in the military?

He was a drill instruction in the marine corps during his re-enlistment. He was discharged with 'other than honorable' for being too 'rough' on the recruits. He went UA(deserter status) for not going back to base after his separation. He was arrested for a traffic bench warrant, transfered back to base, served a month in military jail and then placed back on active duty until his separation time expired. will all this effect his ability to renew his green card?|||I certainly hope so.