This is a solid microgame for fighting Zombies that I think would work great in play. I think it would benefit from a little polish for clarity, though. A few thoughts, take 'em or leave 'em:

• A tiny bit of context at the beginning would really help, even just "A game about fighting zombies." Something about the "You" in the title and the artwork made me start off thinking it was a game about playing as Zombies.
• Layout-wise, the high right column draws my attention and feels like where I'm supposed to start. I'd consider lowering it to start at the same height as the left column.
• I might consider renaming classes to stats. I know Tunnel Goons calls them classes, but it's more confusing than helpful here. Also, Leverage is an interesting name for that stat. I love the idea that influencing people requires you to have leverage over them -- is that the idea?
• For the Zombie Fever, the "you" seems to switch from the players to the GM in a way that is jarring. Also, do they lose 1 Toughness every day for 2d6 days or 1 Toughness total until 2d6 days have passed? 
• There's a typo in the example of play -- it says "ads" instead of "adds".

Overall, cool game! Perfect for a pick-up-and-play zombie outbreak.