Sunnah & Nafl Fasts

Fasting on Mondays

Q: Is there any truth to the claims that Nabi (sallallahu alaihi wasallam) fasted on Monday because he was born on a Monday. If it is true, is it permissible to use this to say that one can celebrate his birthday?

Fasting on only the 10th of Muharram due to some valid excuse

Q: I have read that it is makrooh tanzihi for one to fast on only the 10th of Muharram (without also fasting on the 9th or 11th). My questions are:

1. What is the ruling if one could only fast on the 10th due to some valid reason?

2. Should he rather not fast on the 10th?

3. What constitutes a valid reason?

4. What's the meaning and ruling of makrooh tanzihi?

Will one receive the reward of fasting in Zul Hijjah if he keeps qadha fast in the first 10 days of Zul Hijjah?

Q:

1. If a person has fasts pending for a vow that he has made without him having specified the date, can he fast these fasts of zul hijjah or should he keep those fasts first?

2. If he has to fast for his vow in these 10 days will he acquire the sawaab of the zul hijjah fasts? Also if a woman fasts ramadaan qadhas in these days does she get the sawaab of zul hijjah fasts?