The thing about hitting wrong notes, well maybe one day. 
You will be surprised, but once you change this attitude of "may be one day", you will become a much better pianist.

I'd suggest playing the whole piece not from above, but from the keys, deeply sinking the whole weight of your hand into the keys bottom, so the rhythm of your pianistic gesture would follow and be woven with the natural pace of the piece.
This way first, you won't have any problems with rhythm, as then you will "physically feel" it with your whole body; second, you want have any problems with the wrong notes, as your fingers will be prepared for the right position; and most of all, third, the sound will be nice, deep, long, and round.