@MarsWeeps got it. It's Pike's vintage 1960's TV Console.
1. It is quite large in Pike's era, taking up the entire center of his quarters. The view screen in Kirk's quarters is a smaller desk top model.
2. It collects Pike's loose junk like his cap and laser pistol. What's he got a open weapon in his cabin for? Insubordinate yeomen?

3. Looks like a 1960's TV to me complete with woodgrain veneer. Sharp.

4. Never turned on. I wonder if he watched re-runs of
The Andy Griffith Show while off duty.
5. Again, Kirk's viewer in his quarters was desk top. Maybe Kirk still had it during WNMHGB, but this was never seen on screen. Spock served with Pike for 11 odd years, so, I assume he saw it in person while on the ship.
5. (supplemental) Kirk and a few others viewed it during the historic playback in
The Menagerie.
6. As shown in the photo, Captain Pike is seen with it in his quarters.