It’s fairly easy to tell by zooming in that the soldier has no cap on the top one which is a percussion gun. The soldier is obviously searching for some percussion caps since Pyrodex is still available there.
The second gun is a flintlock which has a dry ball stuck in the barrel. He is looking for someone to show him how to remove the stuck ball. He would have shot it out but he lost the flint and cannot find any real black powder. He’s trying to find a suitable flint and some real black powder since publications in that area have stated that Pyrodex will not work reliably in a flintlock.
Just my professional opinion,,,,,,,