Let's back up just a minute, just for fun..
Just take a piece of bout anything & stick it where that breech plug goes in & go to the bore seat & hold it against the seat & mark the end of the barrel on yer stick.
Now take that stick outside of the barrel & align the mark on the stick to the end of the barrel & mark the end of the bore seat on the outside of the barrel. Now you know where the seat will be.
Now align that mark to the Center of your Flashpan, or where your Drum will be.
You need to attend to that First. If you have to move the barrel back then we go that direction. If not we change the breechplug to the Correct plug & go on.
I suggest you DO NOT patch, shim, washer, whatever the breechplug. Do it Correctly & put the correct plug in it. Why patch & make more parts inside, maybe gaps you can't see, & more places to hold water & rust ? I am for Do it One Time & Do it Right.
Give me the Dia. of the Plug (where it threads in the barrel / 1/2", 9/16", 5/8", 3/4 prob)
Depth of the threaded breechplug hole in the barrel. (Like prob 9/16" or so from outside to bore seat)
Width of the flats (Need to match the tang width to the barrel flat width)
Length of the tang you have inlet.
I have a whole cigar box of breech plugs as I always kept spares. Sometimes pull one & make a Ove-the-Comb tang & etc. & just tossed them in this box, some of them are New as I always have extra.
If I have the correct one I will give it to you.
Now you WILL have to make it fit & seat it & clock it & etc. But that is how this should be fixed.
Or you can trim the barrel & plug you have, but don't put washers or shims in it.
I am not saying you cannot shim & space & etc. All of those are great ideas. But to me the
correct way to address the repair is start with the Correct Part. And that is a longer breechplug.
Your mileage may vary.