1. I've made the mechanics pretty simple to make up for the complexity of everything else. Basically, perks let you do things, Stats make those things happen better, and your crit stats make you more likely to get better outcomes. In fact, the game is actually pretty flawed in that if you have 0 lateral or 0 detail, you can't actually crit.
2. Nope. Marines will get better equipment all 'round, and each Hero will start with a minor-ly game-breaking item. Survivors will, of course, start with twice the supplies, but use twice the supplies. And Uninfected start without food or much equipment.
Also, on that note, I won't be putting 'You see a baseball bat, twelve shillings, a toy bird' etc. in. Otherwise the first supermarket you walk into would eat up all of my time. Instead, because you have six hour blocks, just say something like 'Go to the supermarket, search for a weapon', or 'Go to the supermarket, search for food'.
If you search, though, you'll stop on the first one you find. If you put 'Collect food for x hours', then you'll keep grabbing some until you either won't be able to move, or can't find anymore. If you put 'collect x food', then you'll spend as long as it takes trying to find that quantity.
And Geen hasn't put down his character, so he can miss the first turn. Which is coming up as soon as I write it.