The Entertainer: Study the bit seen in class with separate hands until you have it memorized, and then with both hands.
Fur Elise: Practice the whole piece at a moderate tempo. the idea is that you must be able to be comfortable playing the left hand at all times. Try not to rush the e-d# motif before the left hand enters. Keep the same tempo before and after that happens.
In the Stars: Practice the verse of the song. If you have doubts with the rhythm, listen to the song.
Search for piano music without lyrics that you like.
Piano Adventures p. 46 “Play the Ball”. Make sure you start with the right position, as indicated by the book. Left hand only has two notes: C and B.