All 3 nomads involved in home invasions

Last week we already identified Greg The Peg as one of the men behind the home invasions and we wondered if the other two nomads that recently joined the mother chapter might also be involved. At the end of yesterday's episode, we see Greg the Peg and GoGo dumping the stolen safe in a dumpster and we see Frankie Diamonds holding a couple of papers. Those are probably the birth certificates Clay mentioned were inside the stolen safe.

One of the certificates says "Name of child: Thomas **** Teller" and "Father: John Thomas Teller". The second one is a marriage license and certificate with Gemma and Clay's names on it.

A few questions come to mind:

• We know Greg The Peg was involved in the 3rd home invasion. Was he also involved in the first 2?
• Could it be that the first 2 home invasions were Niner retaliation and the 3rd one was made to look like it was committed by the same people who were behind the first 2?
• Is it possible that GoGo and Frankie Diamonds were not involved in the 3rd home invasion at all? Maybe the safe wasn't stolen during the home invasion, but Clay asked the former nomads to take the safe and make it look like it was stolen during the home invasion so he could get his marriage certificate.