a broken nose with a lump under the eye can be a serious issue. there can be a fracture
of the sinus
under the eye. this is something that needs to be looked at by a trained person and should not be ignored.
about the popped blood vessel, there is nothing to worry. it must have been a sub conunctival hemorrage i.e. bleeding under the skin. it generally goes away in 2 -3 weeks.
in the meanwhile, do not blow your nose or sneeze forcefully. u may get air under the skin from the fracture area and if it travels to the back off the eye, then problem can come.
do visit your primary physician asap
hope this helps