Question

B. Could non-polar nitrogen molecules and polar water molecules form bonds with one another? if so, what kind?

C. Given your answer to B above, do you think that there is a great deal of N2 dissolved in the oceans, a small amount, or none at all?

Answer 1

B is not likely. There is no driving force for N2 and H2O to react but I don't base that prediction upon the polarity of the molecules themselves.
Diving forces for reactions are
1. formation of a precipitate (insoluble material).
2. formation of a gas (one is already a gas)
3. formation of a slightly ionized material (water is already a slightly ionized material).

b.
I would expect the solubility of N2 in H2O to be minimal; i.e., a small amount.