Break - up

Hi, Im just seeking peoples advice as to wether i have done the right thing to break up with my girlfriend as i am really confused. I was with her for 2 years and we recently broke up after another argument over nothing. If we have an argument we both agreed to sit down like adults and sort it, but she continues to storm round the house slamming doors, banging on purpose to wind me up. I tell her to be quiet and she just storms past barging me. Then i ask to talk about it but she wont. My next step is to just go out the house for a walk or drive hoping its calmed down when im back, if i try to go out the door she blocks me and starts screaming, jumping on the floor and tantruming like a toddler, pulling her hair and all sorts, it really freaks me out. I can feel myself getting angry and have to escape from the house! When i return it continues for another half hour then all of a sudden she starts to calm and wants to go to bed like nothings happened and wants to cuddle and all that. Even when were out she will get in a mood for petty things, accusing me of ignoring her when i have not among other things. Im not saying its all her fault as i do cause arguments sometimes, its just the levels she takes the petty arguments to. She has told me time and time again she will stop it but time and time again she never does stop it. Ive tried talking to her parents and all i got was, oh well thats ****** for you its what you get. Yes she is a really caring loving girl apart from when we argue. We also never do anything together even watch a film because shes always cleaning, going out with her mum etc. Never even sits with me. It comes to a point where she comes home and i get a sinking feeling like here we go whats goin to happen now. I just had enough so told her to leave, which i tried on 3 separate occasion without success she would just not go. Now she finally has and took everything she bought, including food with her!! And she lived at mine rent and bill free! I really think she has got underlying problems from a previous relationship breakdown or there is something she is not sharing, but she insists nothing is wrong.Thanks for reading any advice would be great.

she needs to grow up a little kiddish,no mental prob,it wont work you are mature,find someone mature