I'm really confused to let go or stay

Me an my boyfreind knew eachother through a social network kept talking to each other for over three years he came to me and told me that he likes me and we are the same in every way we started a realationship one year ago 6 months later he told me that he loved me i tested that love in every way i can we are in a long distance relationship he told me about everyone he knew every girl he ever kissed, family secrets, things that he would never tell to anyone but me. I trusted him we talked maybe up to over 7 hours... One day he traveled to a place alone and we were having a fight that time he met a girl at a bar and cheated on me two days later he came and told me yhe whole thing cause w promised eachother not to ever lie and he never lied i went crazy left him he regreted it kept talking begging me to forget him called cried he coul've just lied and i would never know and i love him so much and after 2 weeks i talked to him... This is my whole story with my boyfriend i wanted to ask a couple of things... Its almost a one year relashionship we keep on fighting all the time on small stupid things we know that we love eachother and a couple of hours later we miss eachother is that normal is it just the cz we are in the proccess of knowing eachother ? Cz its very difficult to handle and what can i do to fix it ? I always be the mother that go and talk even if he is wrong he would say i'm sorry but never come. The second thing alot of girls throw themselves on him for example i hated this girl so much she is on a social media with us she keeps talking to him in private i told him i dont like her he remove her immediately! Without me asking i told him why did you do that he said you are the most important person i have know one month later i find him follwing that girl on instagram :/ i dont know is he attached to his previous single life? He can't let those girls go away? I'm in a long distance relationship and its harder to control him i know he loves me i know he want to be with me but i'm afraid that he will stay like this his whole life even after we get married "planing to get engaged in one year" i think he still want other girls he cant think of just me and that just one story there are more than this.. Is he going to be like this always ? Did i have to stop this when he told me about him cheating? Is the continues fighting a sign that we are not compatible?

I would like to ask how old you are???? In my experience in life once he has cheated on you and you say hey I am ok with you cheating on me....cos you took him back. So will he stop cheating??? No and No. he will not change. So all you have to ask yourself is can and would I want to put up with a person that I can not trust.....

I'm 23 years old, he regret it i let him sufer until let him back to my life he never lied to me he coul've lie and i would never know about it and he is the sweetes most wonderful person he is nice to me he loves me and done a lot for me after thinking of the bad good thing in this the good things dominated but i'm scared from one thing they say once a cheater always a cheater and it scares me a lot.