Towards the end of this episode when Britta and Troy hug their arms shift from under Troy's to over Troy's.
While fixing his AC unit, Troy removes the evaporator coils, and then reinserts them. Reattaching the evaporator coils would require welding/soldering the refrigerant line to the prevent gas leakage. Troy has no welding equipment, nor does he take his eyes off the his opponent.
Evil Abed describes Britta mockingly by relating how she said her favorite superhero was X-Man. In the comics there actually is an X-Man, Nate Grey from the Age of Apocalypse alternate time line. However, it is unlikely Britta knew of him as he's not a well known character and was probably referring to the popular Fox X-Men franchise.