I'm pouring all of my points in sarcasm.
Box next to hand.
I have been doing the pegasus bridge scenario, and my question is - and it applies to ALL the scenarios - is there a dice reduction for units battling FROM a hex containing an obstacle of some sort, such as barbed wire, sandbag, forest? I know there is a battle dice reduction when you battle a unit on a hex with the above mention obstacles/terrains, but about battling FROM these hexes. Thanks in advance.\
Yes, there is, and each instance can be found in the rules. Look under the rules section pertaining to the various terrain and obstacle types. For example, on page 14, it states that "Armor on a town hex will reduce the number of battle dice it rolls by 2".
Also, infantry roll one less die when battling from a hex that contains wire. (page 16)