Just got back to the pc after getting to work, here is what I did and what I found.
What I did:
1: scooped out the bath water
2: unplugged each hose from the pump
3: couldnt unscrew the pump from the floor ( they were in very tight!)
4: took apart the diaphragm with it still mounted
5: cleaned what i could, it was in pretty good condition with only some scale on the inside of the cap
6: blew out the hose to the hull, felt like something shot out the end... maybe
7: put it all back together
8: slight improvement but pump still cuts out after 5-10 seconds
What I learned:
1: Pump was pretty clean
2: Diaphragm was in good condition
3: DONT unscrew the outlet at the bottom of the tub, the pipe fell down and had to fish it out for half an hour
4: blowing out the hull hose from the pump offers no real resistance
5: not sure about the bath - pump hose, as i couldnt find any way to check for blockages without a long wire maybe?
6: Maybe the engine is seised... Though it runs happily for a few seconds and does appear to drain water from the tub
I guess my next step is to either:
1: buy a whale gulper and hope for the best
2: find out if the bath - pump line is clogged (not sure how yet)