Hi,
The junction box only had an adjuster for the single cable going to the twistgrip. Adjustment of the twin cables going to the carbs was by the adjuster on the tops of the carbs. There was a similar junction box fitted to twin carb Triumphs, but this did not have any adjusters on the box.
4/3 slides were standard on the early T35's - Mark 3 onward machines had 4/5 slides. If you are having difficulty sourcing the correct slides, you could try shortening 5/3 or 5/4 slides - they are the same diameter but a bit longer.
If you attempt to remake the twin cables to the carbs, make sure you use the correct short nipples (1/8"dia x 1/8" long) otherwise they can hit the top of the choke block and stop the slide from dropping onto the throttle stop.
Regards,
Eddie.