For the endshake, far as removing the endshake it's a good thing. The gap won't actually increase. The BC gap is the BC gap. But it will stay at a constant distance between cyl face and barrel/forcing cone entry point.
Smith factory BC gap tolerance has changed over the years. If I remember correctly, max is pretty huge nowadays, something like .010 to .012. But I do not have that documented number from smith. You could email their customer service and ask them, I'm sure they would tell you what that number is so you can check your gun.
(Which also brings up a thought, if you don't want to work on your own gun, ask them who is the factory service center for their product in your country. If they sell guns in your country they have to have some type of warranty service available to their customers there. Which would also mean there has to be a qualified gunsmith for the line in your country)
When you have endshake your gun is already firing at the widest gap possible, sometimes, and the narrowest gap possible, other times. Due to the cylinder floating fore and aft
Which while you are looking at the BC gap now, the widest gap you see may very well be with the cylinder at the back of the cylinder window already. Thus putting in endshake ships won't really change that. It will just take the float out of the cylinder, which as I mentioned could very well be why your cylinder rubs the barrel heel when closing the cylinder now
Use just enough to remove the endshake. Try to fit too many in there and you will bind the cylinder in the frame making it not turn freely. Start with one shim. Try it. Add one more. Try it. Etc. till it's as snug in frame window as you can get it without making the extractor star drag and bind against the blast shield. If it starts to drag or bind remove one shim and that's as far as you can go.
Far as legality there should be no restrictions, but what I would do is go to Brownells Europe site and contact them to see if they can ship endshake shims to you in your country
Brownells Europe - Firearms, Reloading Supplies, Gunsmithing Tools, Gun Parts and Accessories
Here's the brownells Europe part number for them
713100001
POWER CUSTOM PC-J2 .002 (.051mm) thick Smith & Wesson J Centerfire