Never seen a counterfeit, myself.
With the 3 bolt microtilt neck, it's imprtant to make sure it's been properly adjusted.
Raising the microtilt alot, and then over-torquing the neck can result in warping the end of the neck up, making the upper registers play out as though they need a massive fret job. Sometimes fret dress can fix this if it's not massive. Otherwise, you may have to rip the end frets out, plane the board, and refret. This requires someone who knows what they're doing with this specific setup.
Also, over time, the wood in the trussrod route can compress. The leaves the threads hanging out past the wood, with no more room to adjust. This is not uncommon (but not common either, just happens based on the hardness of the maple and how hard the trussrod has been used), and easily remedied by running 2-4 washers down the rod to take up the space of the compressed wood. At a minimum, make sure the trussrod adjuster bullet spins easily, and has the proper effect.
The controls are volume, treble cut, and bass cut.
The mini switch is a coil tap for dual parallel, single coil, and single coil with bass boost.
This setup actually allows for -a lot- of different and highly usable tones. Good stuff.
Some of these are quite heavy, weighing 10+lbs. This may or may not concern you.
The original case should be a black tolex G&G case, and is also pretty nice. Minus points for missing/wrong case.
Stuff this old, take a good look at the frets, especially in the lwoer register. Aggressive players+roundwound strings may have worn troughs in the frets. Perhaps dress-able, perhaps not. Fret replacement ~$250, fret dress ~$75.
Seems like average retail, good playable shape, correct case ought to be in the $800 range.
ymmv...