As far as styles.. Songs to learn and play/play along to - rock. But I also am interested in learning/playing/jamming some jazz/funk stuff too.
I am indifferent to metronomes. When I had drums I never really used one much. Never really with guitars. But I don't necessarily dislike them.
Amp, yes, as I understand you probably shouldn't use a standard guitar amp? I have a Marshall MG series for my guitar.