For an entertaining and informative read on the subject of life in space, let me recommend A City on Mars: Can We Settle Space, Should We Settle Space, and Have We Really Thought This Through? by Kelly and Zach Weinersmith. I found it very illuminating.

The TL;DR version is that the answer to all three questions is probably "no," at least at anything close to the level of technology we'll have in the next several decades. You can see a summary of their analyses on the wiki page:

en.wikipedia.org - A City on Mars

The super-digested version is that it's highly unlikely that humans could survive for very long outside our magnetosphere, given exposure to radiation level (the longest time is only 12 days). It's also highly unlikely that humans could complete our reproductive cycle (conceiving, gestating, giving birth, early childhood development, and growth into adulthood) in zero- or low-gravity environments - making long-term settlement of places like the Moon or Mars nigh-impossible with current technology.

After all, Mars ain't the kind of place to raise your kids. In fact, it's cold as hell.