There's no calculation involved to compensate for runway temperature, I couldn't tell you whether it's already built into the figures or not but considering the wings and engines would be above any air that is locally heated above air temperature, I imagine it isn't considered. Air temperature is the key because it affects wing performance and engine thrust.
Regarding the trident, to my knowledge reverse thrust was always used on landing; it was once described as the only aircraft that was landed by the person not flying it (as reverse was selected by the non handling pilot)
Standing to be corrected!
Atreyu