From your first picture - looks like a No.4 Mk.1 - not a No.4 Mk.1* - so is likely made by a British maker, unless very, very early WWII by Savage or Long Branch. The butt stock with pistol grip is not a military thing - I suspect several suppliers - For example, I believe that SILE, in Italy, provided similar for the Parker Hale conversions.
Second picture - it has a proper No. 4 magazine - sometimes see them with a No. 1 magazine, or vice versa - a No. 4 magazine into a No. 1. It appears to have the Mk.1 tie strap holding rear of fore arm together, so likely a Mk.1 trigger (attached to the trigger guard). If it were one that had seen FTR, I would have expected to see the conversion to the Mk.1/2 or Mk.2 style?
Your third picture - I can not see makers marks - with that replacement butt stock likely does not really matter any more - is not "original", is not "all matching", but could likely be made to look like one? A common phrase - "Always dress an Enfield from the left" - looks in picture that the band with sling swivel is installed backwards? (screw appears to come in from the right?)
How does it shoot? Goes to bore condition and bedding. You can read on Internet that the WWII production needed to do 5 military rounds into 1" wide by 1 1/2" high at 100 FEET - 33 yards - was the minimum standard - you should expect this one to do at least that? Apparently, after WWII, was known to be procedures for bedding that improved results significantly - but then that rifle could have been made early 1940's - so 80-ish years ago - bore could have been ignored and rusted to uselessness, or could still be quite serviceable. Might be an issue for how was that replacement butt stock fitted and installed - bedding.
Evaluating a No. 4 might include checking bolt locking lugs for bearing contact in the receiver, "clocking" of the replaceable bolt head, firing pin protrusion, headspace, trigger pull, and so on. About as detailed or as cursory as you want to make it. Do scratch, dents and scrape marks flow through the wood across the bands and metal bits, or has those metal bits been swapped out at some time? Some buyers are interested in "collectability", some about "shootability", some are just about "external looks". It helps very much to know which type (or other) that you are - I suspect will significantly alter the $$$ value that you place on it.