When Doug and Carrie come home from karaoke, Doug goes to the laptop and he gets right into email without turning on computer. Had computer been left on while they were out, it would have shut down at some point before Doug began to use it as it is not plugged in.
At the end of this episode Carrie orders a gin & tonic at the bar and the bartender pours alcohol in a lowball glass with ice and no tonic and when he puts the bottle down you can see that it is a vodka bottle. In other words he gives her a vodka on the rocks.