At least one parent needs to be Catholic, an most chapels will expect at least that parent to have had attendance, am not sure if many will allow it unless the parent/s have done I think around 7/8 weeks
Godparents don't need to be, although this could be depending on the chapel, I've cousins an cousins kids that have two protestant godparents or godparents that class themselves as no religion an the chapel was fine
I think most are ok these days since it's the parents choice, although my neice is Protestant the church was also fine having me as a godparent an doing the vows even though I class myself as no religion