Idk what to do..

my boyfriend and I have had problems in the past with him thinking I was searching my ex to see what he was doing and shit. well I assured him I wanted nothing to do with him and I didn't look him up like ever!! so last nights was up all night, not kidding. all night. going through my phone. I delete my people searches on facebook just cause ocd it annoys me with them popping up. I keep telling him I never searched him and even showed my activity log to show I've never even liked shared saved commented on nothing of his. I have nothing to do with my ex. now I keep getting told how I'm a liar and I'm deciving. Idk what to do. I just left my family for this man. Idk. I'm just hurting so much. UPDATE: I told him that like 2 years ago I searched my ex but since i haven't had nothing to do with him. but he keeps going on about how I'm lying and that druggies are better than me cause at least they tell the truth. I'm begging this man to stay. we've been together 2 years. we got into a fight with my family while staying with them and we left and it ended up with my dad saying I'm a bitch and fuck me. I left to fulfill my life with my amazing boyfriend. we drove 3 hours to stay with my mom. we talked and talked. about how everything in the past we will work out. we can't be without each other and we love each other and just so on and so on. he couldn't get "up" last night so I knew I was in for it he stayed up all night going through shit on my phone. which I didn't mind then all that happened. now we are technically broken up I guess.. he keeps pushing me away from him, physically. Idk what to do