A year or two ago, a study came out that suggested Phobos and Demos could harbor fossil life, since material from the martian surface dots both of these objects...and a lander/rover could attempt to identify them. I think, if those who would want a mission to Phobos/Demos for astrobio purposes, try and look for fossil life on the moon. First, we know life is on Earth and if material transfer is possible, then potentially micro fossils could transfer as well.
As far as the Moon being habitable? Less likely...but some blown off Earth rocks with fossils in them landing on the Moon's surface? Maybe...
I'd prioritise looking for water to eventually obtain fuel and oxygen for future settlements
Speaking of the moon, have you guys seen this? http://www.shimz.co.jp/english/theme/dream/lunaring.html
Do you think that would interfere with doing experiments on the moon? Obviously the project is a long ways off in the future, but it is something to think about now.