Logging Simulator Time

I just had my first opportunity to log some approaches in a simulator and that
brought up questions about how to log the time. The Frasca 141 was set up to
mimic a Cessna 172. My questions a

1) Does this time get logged as Airplane SEL along with also being logged as a
Synthetic Trainer?

2) Do I log the time as "Day" since technically it was daytime outside the
building? (I'm assuming that I still want my Day hours + Night hours = Total
hours, so it has to be one or the other)

There was some confusion over this at the FBO and I figured I'd compound that
by looking for some answers here :-)

Eric Bartsch