well the situation isn't about family or bf. ur family will accept him as soon as he is qualified...well, as he should be! he's 22, he needs to start uni and graduate!
So yes and ur parents like him otherwise..
so the problem is just that your cousin won't talk to you and ur bf is angry at him for saying crap to you. Well...look at it this way, both the men in ur life are only worried about you. ur cousin said mean things coz he was hurt but also coz he was worried for you too (u know how it is...bhais and their protectiveness)...and ur bf loves u and respects you, so he cant handle the bad stuff ur cousin said about u.
but yes, like a previous member said, try convincing your bf, that ur cousin was just really angry...and yes, he shouldnt have said all those bad things, but everyone makes mistakes, and ur cousin also made a mistake. but he's family after all.
and to ur cousin, approach him first, if he believes that since ur younger u shud...besides he also probably feels that maybe you should've gone to him first, rather than keep it all secret. and just apologise to him for not letting him know and for hurting his feelings. i dont think u need to even bring ur bf into the convo...like dont really mention him, but just apologise for hurting his (ur cousin's) feelings.
and then let time fix things.
and let us know what happens 😊