The Mk II with SU carb is usually very, very easy to start. One thing which can upset this is a sticking dashpot. Try taking off the air cleaner, putting your finger down the inlet tract and seeing if the slide will move up and down totally freely. Do this with the choke off so there is no danger of a badly centred jet fouling the needle. If the slide does not move utterly smoothly, take the dashpot off and clean everything. Polish the inside of the dashpot with nothing harsher than Brasso. Try again. If it is still not completely smooth, try rotating the dashpot by 180 degrees as the clearances are tiny and sometimes the carb body has warped slightly so that the dashpot top only fits one way.
Another likely cause of trouble is the points cam on top of the distributor shaft. Try rocking it. You sometimes get wear in the distributor shaft bushes inside the main distributor body which you can cure but more common is wear between the points cam on top of the shaft and the shaft itself. This you can't cure easily, except by converting to electronic ignition which overcomes the problem. You may also get wear in the advance - retard mechanism which upsets things.
36 4G, 37 VH, 54 KH(A), 75 Healey 1000/4, 52/53 ex ISDT KHA (project).
Former Machine Registrar & Archivist, General Secretary and Single Spares Organiser (over a 25 year period).
Now Archivist once more - but not Machine Registrar.