So did the paying punters down the back know how incompetent you were?
Surely you were "trained" in an approved FFS or if that wasn't available an Aircraft? And had completed crosswind landings with an instructor Pilot along BEFORE being cut lose in a fast swept wing Jet??????!
I don't know anyone that would suggest using differential thrust ( especially in a centerline thrust type A/C like a Lear Jet where it would be basically useless ) to get the Aircraft straight in the Flare.
THAT'S WHAT THE RUDDER IS FOR, and if it's not effective enough I would suggest the crosswind is a little excessive