D,
If your hot tub is like mine, it has two pumps.. A circulation pump and a jet pump. The circulation pump runs most all of the time and the jet pump only runs when you turn the jets on. The circulation pump draws water from the surface, across the filter and then back out a small port or hole in the bottom of the hot tub. The jet pump sucks water from the the little inlet hole with the cover in the bottom of the tub.
Sounds to me like the circulation pump is working, but your jet pump is not working.
Certainly could be a bad pump or some failure in the relay or circuity to turn it on, but the first thing I would look at is an air lock.. If you filled the tub by putting the hose on the bottom of the tub to fill it, that can cause an air lock. When filling an empty tub, you should take the filter out and put the hose in the bottom of the filter area to fill the tub. An air lock can prevent the pump from running.
If this were my tub, I would drain it and start filling it again... If you do not believe it to be an air lock, then you need to use a voltmeter and test the voltage going into jet pump.. If you have voltage, but the pump is not running then the pump is bad.. If you have no voltage, then you need to work backwards toward the control box and see why not. You can also look at the jet pump and see if it has a pressure switch, or some other safety device, that is preventing it from working.
Thanks,
Jim R.