Alright, still kinda new, so I was wondering how I go about getting a better pic of my character Varick Wrath so it isn't the general male Corellian picture that is available.

If possible I would like to get a picture of myself IN-CHARACTER (as dorky as that sounds) that way I have a unique kinda-cool pic to represent my character in the combine.

So to sum it all up:
1. Is this possible?
2. If so, how do I go about getting it completed?

1. Yes
2. a) make the image have a square pixel size (same height & width, at least 100x100)
2. b) upload the image to the internet (having it saved only on your own computer will NOT work)
2. c) go to Character -> Edit Varick Wrath's Profile and enter the URL to the image into the URL to characer picture box.

Sweet...thanks!

can I have a picture of him smoking a tobacco pipe?

yes, that's fine

Pretty much the only rule is keep it PG-13, that's the general rule here in the Combine.