You can do some noise reduction, but it will always affect the quality of the recording (you'll see that you will lose some high frequencies due the reduction). There are a lot of plug ins for that, (I use mostly Waves Z-Noise or X-Noise) and if you take your time to tweak and lisent carefully you can get away with it.
As far as I know, it's a common practice to enhace the sound with fooleys and other stuff. So go ahead, try and explore, if it sounds good to you, it's probably good.
About EQ and stuff just be gentle with it, try not to change the sound too much because it may sound unnatural, but if you consider that it's needed, then go for it.
If you accept that it will not sound good, you just lost your battle... try to think it as a challenge and do your best, even if the result it's not that good, you'll learn a lot and you will be sure that you did your best, wich I think it's what matters the most.