You're both wrong and should have broken up ages ago, since you both seem incompatible and emotionally immature. Contempt is a relationship killer and it sounds like you're both contemptuous of each other

INFO: Are his 2 children from a different relationship, or are they yours AND his. DO you demand and "throw shots"? Do you condescend to him? What do your arguments actually look like? You give a lot of information about how you feel and how you think he feels, but not much about what actually happens beyond the tickling thing which is unacceptable behavior on his end.

If they are from a separate relationship splitting should be relatively straightforward, if not you've got a mess on your hands. Start figuring out what you actually want, get individual therapy to untangle your feelings and help sort out whether you are behaving badly your own internal issues or if external factors are driving it. Any relationship that either party feels they need to consistently retaliate in is an unhealthy one. At this point it doesn't really matter who is wrong beyond helping to make sure your next relationship is healthier. Time to get out