Popeye is often a sign of poor water quality. As Shawnie said, angels are very sensitive to toxins in the water and yours may not survive unless you find out exactly where your tank is in the cycle and take appropriate action.
I know it's no fun spending money on test kits, but they last a long time not buying one may prove to be a false economy if fish die or need medications.
The oily stuff on the surface is just a protein film. Unsightly, but not harmful. Increasing aeration usually gets rid of it