Summary:
The holes in this particular cheese appear to be:
There's no Take-Off Trim switch in the F-16, unlike F-18, M2000, etc.
A/c has high AUW,is a twin-sticker, has external fuel and a slightly asymmetric load (ACMI pod). There's a slight right crosswind on the runway. All these tend to increase the severity of the subsequent problem.
Pilot's flight bag filled the map case, leaving 3 TLP checklists needing stowing.
Greeks do the End of Runway Inspection on the ramp (SOP for them at TLP), therefore the pilot does the Before Take-Off checks before this. This is 20 minutes before take-off.
The manual Yaw and Roll trims get moved to to full right rudder and partly right roll not long after the Before Take-Off checks are complete (and before Taxi). The Manual Trim panel is well back on the left console, front cockpit. A TLP checklist stuck back there would cause the noted trim deflections.
The aircraft then waits in the leak check area near the runway for 3 minutes, but the Before Take-Off checks are not repeated.
On the take-off roll, the left rudder inputs required to keep straight are by chance almost identical to the recently previous flight by this pilot in this aircraft, when there was a much stronger right crosswind.
On take-off, the pilot tries to counter the roll/yaw with full back and left stick. Handling in the Sim shows this cannot recover the a/c. Left rudder would have recovered the aircraft, as would reducing the AOA and full left stick.