I think I went about this the wrong way:

I don't have ω, which makes for an ugly answer. In addition, I know that S = V_eff x I_eff*, and I didn't use effective values, which means my result is probably wrong. But it'd be hard to find the effective value of the voltage without knowing ω so I could find the magnitude. The current source is throwing me off- if it were just another impedance element, it'd be a simple matter to just combine impedances and whatnot, but I'm not sure what to do in this situation.