Recover a marginal probability from a conditional one

Events A and B satisfy $P(A)=5/12$, $P(A\mid B')=7/12$ and $P(A\cap B)=1/8$. Find

(i) $P(B)$,

(ii) $P(A\mid B)$,

(iii) $P(B\mid A)$,

(iv) $P(A\cup B)$.

State, with reasons, whether A and B are independent or mutually exclusive.