Question: Why does your diagram bother to specify a load impedance (20 + 30j) if it's just going to be replaced with the complex conjugate of the Norton (or Thevenin) impedance? Are you sure that the problem is asking for this rather than, say, the peak instantaneous power delivered to the given load?
For what you've shown, your "second method" gives a correct answer. I'm not sure what the first method is all about; I don't recall seeing it before.