Could you please elaborate on 1. ?
I recently had a baby and the lack of sleep has reduced my headache frequency dramatically!
If you end up with too much deep sleep (e.g. after being very physically exhausted for a while), you will have little or no REM sleep and your sleep quality will suffer.
It's not just "too much deep sleep" that could fuck things up, being woken up multiple times can also mess up your sleep cycle, whether it's by crying children or sleep apnea.