Why is reverse petal not working just barley moving?

there is a recall on the 2003 ford escape with this issue

"...moves fwd without stepping on acceleration petal."

Likely the transmission lever (foot pedal) is sticking and not returning into the neutral position. Try to toe tap the opposing directional pedal and see if you can get it to settle into the neutral position.

There may be light debris build up at the transmission housing/directional shaft that needs cleaned and lubricated.

It there are signs of transaxle leaks, it may be low on fluid.

Transmission

This is a gas cart? Solenoid connects positive voltage to starter/generator which starts the motor turning.

If the machine has been sitting idle for a period of time it is probable that the cutter spindles have failed / rusted bearings. They suffer from wet grass/ water seepage when working and when let stand idle for a time will rust up the balls in the bearings. Loosen the drive belts and see if the cutters can be turned freely by hand .

My automatic granny doesn't move that fast either. It sounds as though your reverse gear is going out, the only thing I can suggest is taking it to a transmission repair shop... sorry =(

Reverse the position the cable is going on the resistance motor.

It could be a myriad of things, start off by checking the transmission oil level and also look if it is black This would signify that the valve passages could be clogged or that there is something further amiss in the transmission.

It's either your servo, or your bands.
Either way, the tranny needs a good cheap shop repair.
I'd just get a warrantied salvage yard tranny if I were you and save a few hundred bucks.

sounds like you need a new drive belt