Labor is still part of the 'value' though. When you pay for something, the cost you pay is calculated in part from how much it cost to make in edition to how much they think they can crush out of you.
No it isn't. Not unless there is price fixing (and even in that case the black market will still generally undercut it).
Without price fixing the cost is determined by the intersection of the supply and demand curves. The cost to make the item does affect the supply curve, but it is incorrect to state that this is always included in the final price.
Food in the USA regularly sells for less than the cost it takes to make it. In some cases when this does not happen price fixing on food forces people to buy it at 50 times what it would cost them (example: cane sugar).