Im not quite followingt what you are saying.
It should easily got to near or beyond 5k if set to 1 k on the low side. It should be a smooth transition as you begin to open the throttle from 1k to 5k. no bumps or lumps or bouncing to a lower resitance on the way. If it doesnt go smoothly you need a new tps right away. It has the potential to run your cart too lean and burn a valve if it is jumping around