In the last city, there is enough room to create a layout that would allow for 3 large projects to be in progress at once. Unfortunately we cap at 30 workers. What was the point of all that space then?
Spent 40 minutes on Alexander, got him down to 260 health and at the last second got a ton of lag and died. Guess he has a third attack - freezing your screen.
If you aren't sure if you're doing the correct track for any of the badges, you can go through the first few rounds and check to see if the "Best so far:" count matches the round you're on. If it isn't showing a number, you're doing the wrong track.