"TylerA" - Welcome to the KCA Forum.
Danish Krags are not really an area where I have much experience or knowledge. However, most of what you ask is visible in your nice photos. You have asked twice for help, so here goes:
You have a Danish Model 1889 Army Rifle. It was built in 1891 at Gevaerfabriken Kjobenhavn (The Copenhagen Arms Manufactory in Denmark).
It appears to be complete, with matching parts, except, the Unit Marking 'Disk', (a kind of a thick headed brass tack on the stock), is missing. (It goes where the light circle is visible on the side of the Butt).
The Allen Screw, holding the extractor in place on the bolt, is not a correct part.
The Safety, you have questioned, appears to be correct.
From your photos, the stock appears sanded and refinished. The metal parts appear to have been polished and reblued.
IMHO - Your Gevaer M-1889, (Rifle Model 1889), is largely complete, except for the unit marking disk and the replacement screw.
The apparently refinished wood and metal is a major 'turn off' to collectors.
I would estimate your Danish Krag might sell for $350 to $500.
But, you have a priceless remembrance of your Uncle.
(Attached Photo - Danes with Krags):