This is my final result.You didn't finish your work, so I can't compare to my final result.
You have a lot of unnecessary algebra which invites mistakes as a result of including the 3+j2 branch between nodes 1 and 2. That branch is connected in parallel with a voltage source, and therefore has no effect on the voltages at node 1 and node 2.
It would probably be worth while to eliminate that branch and do it all over again.