I wouldn't attempt to fire the rimfire rounds. They are all duds and you will only mar their appearance.
I reload for 41 swiss using 8mm lebel brass converted to 41 swiss from Buffalo Arms. Projectiles are 0.430 44 magnum bullets 260gr from Missouri bullet co.
OAL is crucial to function on these rifles due to the action design as there is no cartridge interrupter from the mag tube. OAL 2.200. Due to this critical OAL, bullets must be seated quite far out of the case. I am unsure if standard 240gr 44 mag projos will work for this, I have not tried it. The 260gr ones have worked well for me.
The Lee Die for 41 Swiss unfortunately is sized too small at the neck and must be opened up. I used some emory cloth on a rod for this.
The original swiss loading used a projectile with a rebated base, similar to 22lr these days. When Lee copied the original specs for the 41 Swiss cartridge, they didnt account for using non-rebated projectiles.
Lots more information available on these on other forums including doing centerfire conversions. If you like to tinker, these are a fun project. Nothing like shooting a gun for the first time in close to 100 years!