After you complete the level you have to go all the way back out to the menu & then reenter the game. The game needs to either automatically advance you to the next level or return you to the level select screen.
No. Once you complete a level. If you click continue on the completion screen, the next level starts.
Not a bad game; it runs smoothly and the little lizards are pretty cute. It gets repetitive, though. The only power up there really is is the gravity adjuster. Maybe try putting a limit on the number of lizards you can use? It would make it a little more challenging.