My question is regarding ghusl and wudhu.
If I have sex with my wife but I do not ejaculate, is it compulsory for me to perform ghusl janabat?

Secondly, if I have performed wudhu and I cut myself whilst shaving and some blood comes out but when it is washed off it stops bleeding, is it necessary to perform wudhu again?

1- Yes.
Ghusl becomes compulsory once penetration takes place.
2- No need.