Pat,pat.
1. Immigration status is a big issue for many companies. For academia, it
shouldn't be a problem.
2. Taking care of baby is a legitimate reason. No need to worry about that.
3. Gap has reasonable cause(baby), not a problem.
4. Ph.D. do a master's job: tricky. depends on how you present yourself.
Never never lose confidence to yourself. Hope is the best thing one could
have for his/her life.
Relatively speaking, you have an advantage of being an minority women.
Usually female minority is easier to get a job than male minority.
