I plan on buying some bike-specific tools with christmas money. Assuming the problem will be solved by pulling the crank and tightening the fixed cup, will it be alright to ride it until I'm able to get the right tools (< 1 month)?
Concerning which side is reverse threaded, in another thread someone said:
On both sides, if you start with the wrench pointing up, to loosen, you turn towards the rear of the bike.
(which would make the non-drive side reverse threaded)