MAP - No Difference - Do as Wammers suggests above...there should be a big noticable difference with the MAP disconnected.
MAF - Sounds fine if it runs a bit rougher with it disconnected
Starting Issues - Weak Lift Pump, have you tried the Measurement test?? - Either take off the Filter bowl or remove the fuel deliver line to it....using a measureing jug, stopwatch and a length of decent thickness wire, pull the pump relay place the measureing jug to collect fuel....bridge the fuel pump relay for ecxactly 10 seconds and measure the amount of fuel collected - book value is 180ml in 10 seconds....
If that checks out, crack open the banjo and crank over, should be a steady flow of fuel and no air....
If that is fine, time to look at dodgy Crank Position Senor wiring, or mountings (they have been known to break), FIP timing (Use Live Data) or compression (although you say it starts with Easy Start)