Do I need a new fuel pump?

[ckohler0529]

Hello everyone. I am trying to figure out if I need to buy a new fuel pump. I don't know what model pump it is because it is painted over. I have attached a picture so you can see what I am concerned about. There is a stream of gunk running down the side of the pump cylinder. I have noticed a slick in my exhaust discharge as well as in the bilge when I empty it, so I am guessing it might be the fuel pump. The bilge also seems to have a lingering smell of stale oil. Thanks in advance for your thoughts and suggestions.