Is my boyfriend obsessive?

Me and boyfriend have been together for a year and nearly two months, I’ve always felt like a fool for thinking about him and just him all of this time and thought im needy and clingy, until we started arguin 3-4 times a week. Me and my boyfriend have been arguin since like 2 weeks ago [we had arguements in the past], and when we argue he always want to solve it straight away, like for example; he wont leave me until I tell him I love him and everything, and if I dont and I leave him there and walk away, he follows me and I tell him to go home and leave me alone and he wouldnt listen and tries to hurt himself when I really shout at him to go. I also tried just asking him nicely not to come at my house or follow me whenever we get onto an arguement through the internet or phone but he never listens and just go to my house anyway…

He always goes here no matter what time or day it is. He’s been doing that most of the time we get into an arguement. But one time when he did it, I asked him nicely not to come cause I didnt wna talk to him [he overeacted cause I said we cant kiss at my house and he already knows that when we first started going out] but my boyfriend came anyway, I didnt know he was there until my dad started shouting at me because someones hiding behind the wall. So me and my dad got into an arguement and I got very mad at my boyfriend so I told him that if he does something stupid again its over. He called me and told me theres 5 pills sitting on his desk and his thinking of taking all of them… so I just paused and talked to him through it.

That was like a week ago, since then my boyfriend has been emotional, he paid attention to me everytime, he comes at my house pretty much everyday [he usually doesn’t] and when I tell him something that he doesnt like [I told him again we cant kiss at my house] he blanks out and fall into the ground. He went to the doctors and the doctors said he’s gna get a psychiatrist for him, and he hasnt been there yet. But my mums really worried about him and told me “I think his becoming obsess with you.”. This is because my boyfriend said he always needs me to have an appetite to eat or feel normal and make him happy. He also calls me if im not on msn, or if he hasnt heard from me in like 2-4 hours. He always want to show other people im his, even infront of me my parents and brothers [we’re a stick family and any touching isnt allowed at my house] and he does that anyway. What’s wrong with my boyfriend? is he obsessive or is there something medically wrong with him? He doesnt usually do that, we usually just see each other in school or sometimes outside of school, and he used to be always happy and doesnt really think of me 24/7. Please give me some help, thank you :)