Ok, I'm not sure what happened the first time I played, I failed the first time because I didn't realize I was supposed to type in my lines. I swear it took me to the main screen... Then after retrying and typing in my lines, the game continued until it said we were done with the day, then instead of going to Tuesday, it went to the main menu. (I select the third section...) And no matter what, after each section off to the main menu, I went...
I just played it (from scratch/reloaded/etc) and it worked like expected (iow, Failing Monday restarts Monday directly, and after surviving Monday, it goes to Tuesday, directly.) So, it seems to have magically fixed itself. Thanks.