Nice Ric! (But then again, all Rics are nice...)
You did reattach the Gnd wire when putting back the bridge/tailpiece unit, right?
There's no need to remove the strings to adjust the truss rods and 1/4 turn is quite a lot; older Rics needed a different technique to Fenders to adjust the rods (ie, push the neck backwards at the 1st fret and use the rod adjuster to hold it in place), but that was sorted by the time of the 4003.
I'd be inclined to remove the Treble pickup cover and put a black bezel in to fill the hole; that does require undoing the surround plate and unscrewing the height adjuster screws, plus taking take of the rather flimsy wires.
Has yours got the push-pull Treble Tone pot? (I'm not sure they were doing them in '97.)
Incidentally, the tuners are, I believe, made by Schaller.