Do you think i'm wrong?(please read)?

[popof]

My current boyfriend is my fiance.we have a 6 months old and we live together.lately for the past 3 months he's been having financial problems.for that reason he's been acting very nasty with me.when he comes home from work he does not talk to me.we don't spend quality time together.he just plays his xbox for hours and then goes to sleep.he does not help with chores or cleaning the bathroom,or even take care of our son.when I try to get him to do it he always come up with reasons like his game helps I'm focus on something else that is not his life,he shouldn't be doing anything because he's working and I'm not(I'm an international student so I'm not permitted to work.but I still get help through my family.I pay half the rent.I. put in 1000$ every month for all our expenses like food,supplies,diapers,baby milk) or pretend to be sleeping to not care for the baby,claims he does not have money to take me out (it does not bother me because I'm not really the person to like going out to places.all I need good movies together,a little conversation to show you know we are there.).I reconnected with my ex months ago and was talking to him through facebook.my bf knew about it ad my facebook is always open.my ex is the one who took my virginity but he was also was my best friend before we dated.we are both in relationship and happy so I'm not trying to get back with him.just to retake our friendship where we left it.my boyfriend saw an old message in which I told my ex "I miss the conversations we used to have before all the bad stuff happened" nothing bad and I understand he got mad.I apologized about it and offered to stop talking to him for that and he says its ok but wants to take it badly saying I'm younger than him so I will be likely to cheat because I'm flirting with my ex(I'm not even flirting cause I know what it leads to)and it will be like the same thing that happened with his ex,that he does not trust me.he constantly remind me of it.am I wrong? I'm 23 he's 29
@ B it might seem to you that the events happened at the same time but it is not the case. me talking to my ex is for he past 6 months.And he had nothing wrong with it. Because i was the one in the wrong(with my ex) he actually kind of encouraged me to talk to him. these problems of our started 2 months ago.and now he's making it a reason for the problems. And for your record i'm smart enough to know i had to stop so I did it like i said even though he told me it was ok. i'm completely sincere about it.so please read it before you say things like this.
and for the other person who says i'm hiding things it is not the case if it was he would never have seen this message.So again I have nothing to hide so reread