Season 2 currently airing is actually fixing that problem. The season is 20 (I think) episodes long so things move a lot slower as far as the central plot goes, and we get a lot more of the cast just hanging out in both normal and silly scenarios.

I loved Awake. It was also crazy how coincidentally as soon as the show got cancelled about halfway through the season, everything went serialized and the plot went from 0-100 lol