I second point 1, it doesn't stop the game being fun the way it works now but it does cause a certain amount of frustration as I'd like to see how my AM tactics worked out in the PM. For example playing as the Confederates I had better than historical success in days 1 and 2. Day 3 started with my guys holding Cemetery Hill, Culps Hill and Cemetery Ridge with the Union holding the Roundtops and other hills to the south. At the start I had a problem with the artillery as most of mine was deployed on Seminary Ridge so couldn't hit a thing. Moving them to better positions took a while but once I had them there I started doing some damage and had cover for my guys so I started an advance in the east. This was developing quite nicely until the Health and Safety people decided everyone was getting a bit tired and enforced a mandatory lunch break. Turned out my guys all decided to picnic on Seminary Ridge and the Union unsportingly grabbed the vacated ground. Not sure how scenarios get picked - the one I started off with on Day 3 obviously wasn't historical though it didn't look totally implausible - but the afternoon session was close to the historical one except for the Confederates holding Culps Hill. If not a continous play through then some more transition scenarios would certainly be useful to prevent these abrupt changes in positions.
Ideally I think each day should play through continuously and at the close of the day the player should get various choices - as already happens - as to the starting position the next day, e.g. do they try and hold all the ground they currently have, or go to whatever fallback positions would be plausible in the context.