The deck plans for the original (afaik) CT version of the Lab Ship, introduced in the adventure Death Station, included a cutaway showing fuel tanks located in a ribbon under the floor, along with life support ducts.
As for generating gravity: according to this website, angular velocity to get 1G "may be too high for immediate comfort – authors disagree. A period of adaptation may be necessary." (I calculated the radius as follows: 128 square circumference x 1.5m per square / 3.14 *2 = 30.57m as the radius at floor level) https://www.artificial-gravity.com/sw/SpinCalc/
And for what it's worth, I made this "front view" of the lab ship so I could better understand where everything is along the ring (apologies for my weak Illustrator skills):
I agree that it's weird that the bridge is facing backwards, and that prominent "cockpit"-looking area would be labs, and according to the deck plans, would have a wall bisecting it almost in the middle. Also, it appears to be oriented upside down.
Other problems:
1. The pinnace deck plans for the lab ship appear to be that of a 20-ton ship, not a 40-ton one. The MT version of the lab ship gave the pinnace fuel scoops and oversized fuel tanks, so it could refuel the lap ship; the lap ship was equipped with fuel processors as well (which the current one lacks). But the MT pinnace would have to make many trips to refuel the lab ship, and from the Mongoose v2 core rules, we know that gas giant refueling is pretty hazardous. I'd recommend adding a fuel bladder to the pinnace's cargo bay, and a cargo clamp on the lab ship's docking arm, so that the ATV could be clamped in place (which would certainly require EVA) - this could allow a pinnace to refuel the lab ship in about 5 trips instead of 8 or 9.
2. The pinnace should dock sideways (instead of oriented "up") in order for the pinnace's air lock to line up with the one on the docking ring.
3. I'm curious how it's envisioned that one transitions their orientation when going from the ring to the docking arm...