It stops a little more than halfway through the full wash spin and rinse and gives me an alternating F and then H codes. What does this mean?

The machine has a fill error. If the right amount of water does not come in during the proper time allowed then it will give you an FH code. Try a rinse cycle that uses cold water to see if you get any water. Make sure that the (cold) water did not get turned off. Check the screens on the water valve. Do not remove the screens, Just clean them. If you have clear screens, power and water but no water comes in then you need a water valve.