The pulsation you feel could be several things,
normally you can not feel the pulsation of
a triplex pump,
(Alkota and All American use
pulsation dampeners on their 5 GPM and up
units.) can you see a fluctuation in pressure
with a gauge? If not I would not be concerned,
if you do check your inlet line for restrictions or
air leaks.
As far as the pump getting hot? It may be normal,
what is the temperature of the crankcase?
Can you leave your hand on the pump while
running or is it too hot for that?
Sounds like your pump is pulling the water up
2' to your inlet? You could easily put a
prime
valve on this unit, simply install a tee at your
tank inlet and run a 1/4" line from the tee to another
tee at your pump inlet. Open the valve to prime pump
before starting!
Hope this helps!