Parades? I did two in 29 years, excluding the Graduation thing.
1. Freedom of Louth, Plt Off with Storno trying to coordinate Varsity and JP flypast with Parade with some guy with R/T on a rooftop nearby. Engrossed/focussed on Comms, walked past RAF Standard and QCS without saluting, and thus shouted at by RAF Regt sqn ldr.
2. AOC's at West Drayton, Flt Lt commanding Guard of Honour. Apparently I done good, thanks to purchase of new No. 1 HD
And despite IOT training, I never found it necessary to run anywhere, ever. Not even carrying the end of a pine pole, slowly, ever. Officers running can make the troops nervous, I believe.