You're probably just putting the plane into a simple spin, not a flat spin. A simple spin is where the plane spins around its CG with the nose pointed at a downward angle. Flat spins are where the plane is spinning around its CG, with the nose level.

Most planes will recover from spins if you just let go of the sticks and wait it out. Forcing a recovery requires rudder control, which you don't have. Ailerons are useless because the wing is stalled. Elevator is what put you into the spin in the first place, and more won't get you out of one. Spins can occasionally be fatal for the plane.

The real solution is to not get into a spin in the first place... I don't know why, but most people panic and yank full up elevator when their plane gets out of sorts. This is the WORST thing you can do, and usually the end result is the plane stalling and going into a spin.