Hey! Nice warmup entry. I love how the zombies get an exclamation mark on their heads when they see you.
Just a tip: try using Screen.showCursor = false; on the start function of your player's script. It hides the cursor, and it's perfect for FPS games.

It looks like I'm shooting ping pong balls from the forehead :D I also like the exclamation mark when enemies get aggroed

Good game! Nice tree models. Zombie AI was very solid. I agree, the cursor should be hidden, keep it up!