Should I try to get my ex boyfriend back?

Ok so a couple of days ago my boyfriend and I broke up because he's having a lot of family problems. He's basically being the parent of the house because his mom is never around and his step dad just left them. He's helping pay the rent, pay for wifi, getting 2 jobs, paying for his car, literally it's like he's living on his own and he's only 17. So he told me he didn't have time for a relationship and that's why things ended. I understand he doesn't have time but I care about him sooooo much I can't let him just leave like that. I would literally do anything to make him happy and for us to work and to help him pay for things. Im thinking of sending him this text (picture below)... Should I do it? Does it make me look desperate? Also what else should I add on to show him I'll do anything for us to work and help him out? I really do think I love him and I don't want him to leave 😔 I just want to get the point across to him that he means the world to me and I hate to see him like this and that I want him back