sounds like you thought the process through fairly well. Be careful about the wet sand in and around the engine. Sand and metal moving parts are not a good mix.

What it sounds like happened is you were a little to high for the flair. The flair should happen within the last 6 inches and you only need a tiny bit of up elevator. I would pratice the approaches up high going through all the motions then do the landing again. Also while you are up high, cut the throttle completely and just keep giving it up elevator until it stalls, that way you will know how slow you can go before the stall comes and you will also learn how it stalls (drops the nose or wingtip) If it just drops the nose then a little power will save it, if it drops a wingtip then power and opposite aileron is required

Otherwise good job..have your knees stopped shaking yet??