rust etc on my stove how to get rid of it??

Try some fine steel wool, 0000. One might even try something like crocus cloth.

If it's cast iron painted with stove paint originally from the factory, I found using a wire brush and/or wire wheel on a drill works great. Vacuum it and wipe with solvent. When dry re-spray it with Stove Bright stove paint.

I had a spot on my brand new Napoleon NZ3000 faceplate. My dealer sent me a can a paint to match and Napoleon tech rep said to just hit it with 000 steel wool and give it two LIGHT coats of paint. He said if you put a think coat or to many layers it may bubble when it cures. I did mine and I can hardly tell where it was done now that is has cured.

Another reason not to put water on top of a wood stove

we get the occasional rust spot or two from condensed water coming off of our water pan....I use Rutland stove polish, when the stove is cooled off, rub some polish on the rust spots (I do the whole stove), buff it off once after putting it on, and again after the stove has gone through a good heat cycle or two.....keeps my pipe and the stove looking like new......make sure you wear rubber gloves it will stain yer hands!!

My recommendation would be to try the stove polish as Scotty mentioned OR try some automotive polishing compound since it is a painted surface. If it is a deeper rust and the polishing compound doesn't cut it, you can go to the next level using rubbing compound. This method has worked for me in the past. However on flat black paint it may need to be cleaned then touched up with some Perkins hi temp stove paint so the rust won't come back to haunt you again.
Whatever method you choose to take it's best to start with the lightest abrasive first, then work your way to heavier cleaners/abrasives. The heavier you go with abrasives the more likely you will need to repaint.

Or you could do what I did . . . ended up putting a soapstone slab on top of my stove with an air gap between it and the stove . . . keeps the water from boiling over with or without the trivet.

Sand it and paint it with some hightemp enamel.