For problem 1. it might have been easier to multiply both sides of the equation by (3-i), as opposed to multiplying the RHS by (3+i)/(3+i). I suggest you try that strategy!

2. Just use foil, but remember that , hence your expression should be:

Then remember that and that , hence:

Now split into real and imaginary parts!

PS: Are you sure you wrote out 1. correctly? Since the numerator of the RHS is just 6+1 = 7.