The answer to question 1 is yes, You can remove it by turning the wheels to full right lock and undoing some of the iner plastic guard and literally unclipping the old pump/motor, I got my new one from Bursins auto parts and cost $10, it is the most common pump out of the few that they keep in stock, same as a ford falcon pump.
with problem 3 just cut a bit of wire, I found a wire brush bristle works well and poke it in the jet hole's to clean them, if they are just plain rooted they cost a couple of bucks, I also had to replace mine, and found it was trial and error to find some that had small enough shafts to fit through the holes on the bonnet, in the end I settled for some more falcon parts but had to shave some plastic off the shafts to make them fit.