The 'end of striaght siezure' is an issue, but I don't honestly know of anyone who's suffered. I guess the safe thing to do is blib the throttle but quite how you achieve that whilst hard on the brakes I'm not sure! I kept the oil pump on when I was racing.
The rear cylinder runs hotter than the front, so is generally richer.
The oil pump should simply have a plate covering the hole in the crankcase where it would have been fitted. The input lines to the carb manifolds should either be blocked, or have a tube connecting the two with a ball bearing in it to stop air flow between the two.
The air solenoid is to alter the carb fuelling according to revs.
As for pulling it apart, I guess it depends how lucky you feel! If you have no idea of the history, and don't want to face being flung off when it siezes, then I'd remove the barrels and check - you can leave the head attached and only use one new gasket on refit. It would also let you check the state of the cooling system - they can and do crud up over the years, and overheating will lead to siezure too.
At the very least I'd have the exhausts off and have a good nose up the port with a good torch to look for anything obvious.
Best of luck with the track career!
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