I can only answer your #2 question.
As previously stated, your missing the main spring, and the stirrup (some might call it a link and pin), that attaches to the tumbler is broken as you mentioned. The mainspring has, what I would term, a fork in one end that the stirrup fits into, and the stirrup is connected to the tumbler which, when released from the sear, rotates the hammer, allowing the weapon to be fired. (The mainspring also has a pin on it's side which fits into that hole towards the rear of the lock). The hammer is connected to the tumbler via a screw on the other side of the lock, which I see you've removed. Also, it looks like you're missing a sear spring, which forces the sear (the long "L" shaped thing that has the "XIO" stamped on it), into the notches in the tumbler. This allows the lock to be placed in either half or full cock and remain there under tension. When you pull the trigger, your finger is applying force against this sear spring and that releases the sear, allowing the mainspring to rotate the tumbler and hammer, and then things go "bang". Perhaps, in this case, since it's a military weapon, the mainspring may serve that function, but that would mean the trigger pull would be horrendously stout.
I think you're pretty lucky. I assume the stirrup broke and when that happened, all the tension on the mainspring was released. Many times when that happens, the mainspring gouges out a chunk of would on the wooden lock mortise. I don't see any indication that that happened and over time, someone lost those two springs. Or maybe someone was messing with the lock when it was off the musket and the stirrup broke, (maybe they didn't use a mainspring vice?) and parts went flying. Was your Grandfather blind in one eye?
It is a very nice musket.
This musket has what is termed as a Back Action Lock. You also see them on a lot of target rifles of the period as these lock have a very fast lock time.
And welcome to the forum.