You might end up needing two compressors to do what you want. The settings for fattening up your tone are not always the same as the settings for evening out your dynamics.
So you want to EQ your signal (try boosting somewhere in the low mids) and listen to see if you still need to fatten it up. If you do, add the compressor and fatten it up; if not, skip to evening out the dynamics. Listen and see if fattening the tone also happened to fix your dynamics. If not add a compressor to fix the dynamics.
I'm not sure what kind of pop/noise you're talking about, but if you're talking about the noise produced by the attack of plucking the strings, this is something you can take care of with a Low Pass in your EQ. If you're talking about the fact that your playing is a little on the rough side and you're producing a lot of extraneous fretting noises, there's nothing you can do about that but practice, and compressing the signal will always make these sounds worse. But please describe the noise you're talking about and maybe we can help you.