you seem to be doing the right thing, just don't rush. Only increase the tempo once you have mastered the setting before. Something you should also play equal attention to is setting the metronome at slow speeds (like around 60-80 bpm). Playing at slower speeds rounds out your technique because it takes discipline and control to play on time with slower tempos. Something that will definitely help you out in the long run. Also try different rhythm patterns, and different alternate picking combinations. Doing different things will build competence with your right hand so try different things as they come to you.

Do every technique with a metronome, and start at a tempo where it is very easy to play so that you master the motor skill part of it first. Then increase the tempo.