What would happen if a Pokemon used Me First on a target that was going to use Me First

The Power of an attack directly correlates to how much damage you deal, because its presence in the damage formula is entirely multiplicative. So, an attack with 120 power will do twice as much damage as one that has 60 power. The same goes with your corresponding attack stat: a Pokemon with 100 Attack will do twice as much damage as one with 50 Attack when using the same attack on the same target.

STAB has operated consistently since Gen 1 so this applies to all of the games. It increases the Power of an attack by 50% if it matches one of your types. 60 becomes 90, for instance.

Technician increases the Base Power of an attack by 50% if its Power is 60 or less. So the most you get is boosting an attack at 60 power to 90. This occurs before STAB is calculated, so your Power would be 90 for STAB, boosting it to 135.

False Swipe leaves an opponent with at least one health. In Leaf Green, the following Pokemon learn it by levelling up. Entries in bold are Pokemon which can be caught in Leaf Green; others can be acquired by trading:

• Cubone (level 33) (Sevault Canyon, Pokémon Tower floors 3-7)
• Farfetch'd (level 46) (Trade a Spearow to a girl in Vermillion City)
• Grovyle (level 53)
• Marowak (level 39) (Sevault Canyon, Victory Road floors 1-3)
• Nincada (level 25)
• Sceptile (level 59)
• Scizor (level 16)
• Scyther (level 16)
• Zangoose (level 55)

The following Pokemon can hatch with it as an egg, if their father had the move:

• Heracross
• Mawile
• Paras
• Pinsir
• Seedot
• Shroomish
• Spearow