Met with EX, think I made a huge mistake, but confused

Been divorced for about a month. During separation, EX developed a repeating pattern. She would push the issue and get very close to me again, then go cold when we would get close. This would usually be followed by me ignoring her and the situation would repeat. We got divorced because we stopped trusting each other. She ALWAYS had to do whatever her mom told her to (even if that meant lying to me). I, admittedly, drank too much towards the end (even if that meant lying to her about drinking). She moved out. She filed. Well for about the last week she had been texting me about needing a few items that were still in the garage (remember, legally those items are now mine as I kept the house). I ignored her texts. Finally, I got pissed and sent her back a few nasty texts. She followed these up by sending even more texts. These texts were overly pleasant, like I had never sent the means texts. I finally agreed to meet her and give her the items. WOW! What an event. She cried the whole time. Asked if I still had the rings (which I too got to keep), I told her I sold them. She wanted to know why I didn't keep them in case we got back together. She also told me she no longer planned on changing her name back to her maiden name. Told me she missed me, the house, our pets. Said she was afraid that if one of us got cancer we wouldn't be able to visit the other one in the hospital (not sure what that one is all about). We both admitted that we were seeing other people. We also both admitted that our new relationships weren't as good as the one we had. She tried grabbing my you-know-what in the parking lot where we were exchanging the items. Here is the weirdest part: She asked me to go to marriage counseling so that we could learn "how to be friends." I didn't think that was the point of the marriage counseling. I told her I wasn't sure. The next day was followed by tons of texts both ways. Now, I can tell she is distancing herself again. Her texts towards me are usually questions. If I don't respond she sends more. If I ask her questions she either doesn't reply or takes a long period of time. Im positive I am a plan B for her (again, she told me she is seeing someone). To be honest, she is my plan B as well (although I admit the 3 women I have dated in the last month were kinda duds.) So my question: Is this normal? Part of me thinks I should just completely ignore her. I really could take it or leave it when it comes to getting back with her. However, part of me thinks that we might be at the beginning stages of a legit reconciliation, which I don't think I am completely opposed to either.

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