My question is very similar to an earlier shellac question, but the particulars of my situation are different...
A few years ago my wife & I refinished the outside of our front doors. This went well, but we had placed the doors on top of saw horses with old towels in between as cushions. This project took a number of weeks during the summer (fairly humid) and people smarter than me would have been able to predict that the towels would have fused the the back-side of the doors. We have some lovely lighter-color stripes on the back-side of the doors where the towels peeled away some of the finish (the varnish, I believe).
Is there a recommended practice for "cleaning" the back-side of my doors to blend out these stripes?...something short of a full-blown refinishing (as in, no heat gun, sand paper, or chemical stripper)? I should emphasize that we aren't looking to get the back-side of the doors to some like-new or furniture-worthy finish...old, patinated, alligatored stuff is great. I'm thinking that there is a way to scrub off (or blend in) the surface layer of varnish using a rag (or steel wool) and some sort of liquid (

). ...then maybe brush on a coat of (

) for protection after a good washing?
Similarly, we have splatters of primer on the door casing and baseboards. I think that the wood has the same sort of varnished finish on them (lightly alligatored). Again, is there a recommendation from the group here on how to best approach getting the majority of these splatters off of the wood?
Thank you,
Jason