You would need a 1/4" nut driver to open it, to examine the insides.
Hopefully, some connector is only loose. A common fault (with old electronics in general) is that a capacitor has gone bad and would need to be replaced.
It is also possible that many plastic "rivets" holding the keyboard sandwich together have broken off: if they are too many, you could
replace them with bolts.
I'd think that many people would have some spare keys for grey-and-white Model Ms laying around. Apparently, you'd need only one: the
grey numpad-Enter key. It covers two positions.
(There are also all-white Ambra Model M keyboards, and a spare keycap for one of those would have been harder to find.)