Does she still want to be with me or regret being so difficult while we were together? Does she love me or hate me or both?
She throws her bf in the convo when she's upset as if to try to make me jealous
I don't have time or energy for this immaturity and my son needs me.
Sounds like she thrives on drama and wants more of it - about her medical issues, her new bf, anything. The key for you is to not respond and not let it get to you. Keep your own communications BIFF (brief, informative, friendly, firm) and ignore her extra chatter.
She can say whatever she wants... .skim the email until you see something about your son, and delete it if there's no mention of your son. Do you think you could do that?
Do you want her to still want to be with you, regret how she acted, etc? Having complicated, unresolved feelings like that makes it harder to enforce boundaries. But I think your goal to focus on yourself and your son is absolutely the right one, and you have the power to do that regardless of what your ex writes in e-mails.