The idea of making the camera to move with the mouse was meant to add more tension, forcing you to keep watching your back. The idea was to feel underpowered against the horde.
The character runs faster than the zombies when facing the direction they are going, there isn't melee combat but you can create some distance between you and them.
I'm really glad you liked it and thanks for the feedback(. ❛ ᴗ ❛.)