It is normal to have a little play when the action is opened.
It's unlikely that the loose stock was your problem but tighten it up and see. If scoped, a loose base or rings could definitely cause your problem. Tighten the stock screws a bit better. I shoot by encore with a 50X209 and a 375 H&H Mag. barrel and only had the forend loosen a bit (solved by tightening the screws and not with Locktite). I've found that with Encores, one must attach the bases with Loctite if you want them to hold but you don't have to use Loctite on the rings.
For my muzzel loader last season, I used Shocky's Gold powder sticks, plastic sabots (from T/C) with .44 cal. handgun bullets and did not have to clean the barrel at all for the 20+ shots I fired. The end of season cleanup was very easy with no appreciable buildup of anything plastic or otherwise.