Trying to "clean up" old footage

Here's the watermarked version. You can see there's a lot that needs to be fixed in this video. I'm not sure where the best place to start is.

http://www.mdah.ms.gov/arrec/digital_archives/newsfilm/detail/4420

I've worked on a couple of projects recently that involved restoration of film shot in the '70's.  In one case, we had the a and b rolls scanned to 2K.  (If you don't understand about a and b rolls don't worry about it, it's too complicated to explain here)...  There were jumps at most of the edits that we were able to remove using image stabilization.  We were working in DaVinci Resolve, but you can use the warp-stabilizer effect in Premiere.  It's not particularly intuitive, but do some googling to find some useful tutorials online.  As far as the noise, that's often a matter of taste.  Apparent noise can be the result of digital artifacts and also grain from the original film.

There are several tools to help with this, but it's usually a trade off between noise and sharpness.  My go to tool for this is the neat video plug in.  https://www.neatvideo.com/  Not cheap but worth every penny.  You can download a demo that will work in Premiere.  If you have the full creative cloud suite, I suggest you get the demo for after effects.  I find it much easier to use...  

don't know what you mean by 'see where the reel starts'. You mean the loops above and below film gate of projector weren't big enough to keep the film smooth through the gate ? And you have some kinda digital translation of that stuff ( like from library of congress or something ? ).

maybe post a youtube 8 second sample for grain and jumpy stuff.. so people can see what you mean.

🙂