My ex(who I decided to be friends w/ again)was dating a new girl and whenever he’s on the outs w/ her, he wants to hang out with me. When he’s good w/ her he hardly ever talks to me. Do you think I should stop all communication between us?

yes. personally I hate being used as an emotional pit for ppl to dump their shit on whenever they find it convenient to do so. dont be so available to someone who wouldn’t do the same for you. reciprocity is the name of the game sis.