I have had one motor seize internally due to water damage in about 2 years... so that is certainly a possibility. Just two failing at the same time sounds less likely. Them jacks like to be exercised once in a while...
If a low battery were the reason, and the front motors run, then any single jack should work individually - just not all together.
The clicks you hear are relays in the control box that switch the individual motors on or off. There are fuses in the control box and it is possible that the rear ones are burnt. Replace with same amperage and try again. If the fuses are OK, chances are there is no current going to the rears at all. Possibly a loose connection at either end - do not forget to check the grounds.
It is somewhat possible that the rear jacks are "jammed" in the up position and the motor power is not enough to break them loose. You can disengage the motor head (move the small lever at the side of the jack head to the other end) and try to crank them manually. Once they are extended just a little bit, the motors should work again. If the fuses still blow, either the motor is seized or the gears in the head are jammed.
On the plus side, Happijac are rather quick and customer-friendly when you need spares...