Isn’t this considered gaslighting?

So me and my boyfriend live together and we literally just broke up. Reasons is because that man is a liar(he lies about the dumbest things) he’s inconsiderate (the asshole already owes me money for not having the money to help with rent, bge ect because of his consistency on getting fire from his jobs but manage to come home with a PlayStation and yes he has a job now but barely have any hours. And he’s a cheater. But going back on reasons why I made this post, yesterday my grandfather came in town and he usually stay at my uncle and aunt house when he comes (they have a extra bedroom) so when he called me and says he made it safely here, I took my shower and decided to walk to the house instead of driving (aunt and uncle lives maybe 5 minutes away) so I walk out on my way down the street my now ex was home and I haven’t been saying a word to him but he texts me when I get there saying where are you storming off to? He never liked me going anywhere without him, it was one day I decided to go to the store that was 7 minutes up the street he met me there and pretty much snuck up on me and was pissed I left without him for one he was sleep and I didn’t want to bother him. But going back to yesterday I ignored his message because I was with family and didn’t feel like anything negative. Later I go home he’s gone when I got in and probably came in a hour later after I came in. He comes in use the bathroom and then comes in the bedroom and say so where did you go? Remind you I never answered his text I said to him if you see I didn’t reply let it go. Later he says I probably had sex on my birthday which was a week ago and how I’m so secretive when in fact usually I tell him my whereabouts when he ask always honest with him and he still sometimes doesn’t believe me. He always think I’m with a man. Then he says in a text go ahead and continue what you’re doing basically saying in his words go ahead and be with that guy. He was snooping in my iPad and phone when I was in the shower a few weeks back until I changed my password after we broke up.