I broke up with my ex and now I don't know if I did the right thing

Me and my ex-boyfriend had an almost perfect relationship for almost 1 year and 6 months. We've met when we were in third year college. We are both taking up the same course, we are in our fifth year and soon to graduate this October. He is the type of man that every woman could wish for. Gentle, loving, caring, understanding, loyal, and never fails to make me smile. Our parents are both happy for our relationship. Everything seems so fine between us when suddenly things started to change.. Since we are classmate as well as group mate in all of our major classes, we are almost seeing each other almost 24/7. We often fight about certain things, even the smallest issues between us. I started to become a nagger to him due to the reason that we always fight about our group project which is most of the time, he doesn't put any effort to finish it. He became too dependent to me when it comes to school works. It is really hard for me when we suffered from almost every week of arguments because it affects our studies. Since we fight and argue most of the time, I feel that our spice in our relationship started to fade. Although we are happy most of the time when we are together, I eventually got tired of our situation. We misunderstood each other most of the time, we even don't know how to listen from each other side, we are losing respect from each other, we even got no time to settle or talk about the bad sides of our relationship because we became so busy of our school works and busy of arguing with each other, Until last Wednesday, the day before my birthday, we had an extreme argument about some religious matters and I feel so really tired of dealing with him. I know it's my fault that I've said bad words and cursing him to the point that I've said that he is not a loss. I know he got hurt and so he decided to we should have a cool-off in our relationship. He told me that he doesn't want any communication from me for a month because he needs to find himself. I got angry, shock and upset of his decision of cooling off with me knowing that it is my birthday. I feel so down, alone and angry to him. Our situation this past few weeks really makes me feel pressured, stressed and tired. I broke up with him to end our relationship. At first he tried not to accept my decision but I decided not to reply on his messages. He started to act cold especially when I decided not to include his name on our group project. (Not taking it personally but he doesn't contribute anything) He started to return the things that I gave to him and yesterday he texted me that he is going to drop on our house to take our pet cat which he gave to me last valentines day. It really depressing to broke up with him because I thought it's for the good of both of us. But I really don't know if I did the right thing. I am confused, upset, sleepless and been crying for days. I can't thing of the right way to be better or to think of what is right and wrong especially in our case that we see each other almost everyday in our class. Please help