I'm all for second changes SG, as long as all parties are willing to make changes and it isn't just a rehash of what was going on before. I would, personally, ask that I see some progress in areas that were issues, and let them know that it won't be good enough if some effort isn't made.
You wanted a partner who accepted such a huge, important part of who you are, and it was frustrating to you that Cherry had such a hard time with jealousy and trying to understand polyamory, even though you didn't have any other partners beside her. I hope she is more willing this time around than she was before, to look at her fears and jealousy, try to deconstruct them, and examine the difficulty she had in being in a relationship with someone who is polyamorous, even if it is by taking baby steps. Because it did sound like you had a good connection with each other, so I wish only good things for you both as you move forward in "Phase II."