I'm sorry for you experience. I wish I had a suggestion that would make a difference, but if you have tried for that long and Pocket is still not accepting Buttons I don't know there is much more you could try.
One thing I could suggest, not sure if you tried would be to wear them each in a separate bonding pouch, overlapped with the screens facing each other. You can try this for a while and see if they settle down and monitor Pocket's behavior towards Buttons.
I recommend talking to the rescue and see what they say, I feel bad for you and Buttons, maybe they can help. Or maybe someone who has more experience will help with advice soon.