I've had a couple of coats like this, and have always called them a "photographer's coat" or jacket.
This one, however, is a "fast fashion" style item, made to last a single season and probably 5 washings, before being tossed aside.
Your decision to put time into repairing it is admirable... but eventually you will lose. The fabric fraying at the edges? Yeah... that's happening microscopically at the seams, too, and they will eventually burst, talking the seam allowance with them, and making repairs impossible.
Have fun with it, but know that this coat is not long for this world. :-)