MP - I gave the manual a quick blast and could find no mention of quick turnarounds or mentions of maximum temps before starting. Therefore it would be reasonable to assume there are none. The relevant limits appear to be a minimum of 13%Ng (stabilised) before fuel introduction and 1,000 deg. As has been written above, the factors affecting a start are battery condition and knobs and buttons, like was the Bleed Lever correctly set? That would certainly boost the ITT.
But slightly digressing, what a lot of aircraft you have got. Most impressive - many toys!