1- It is makrooh to shave part of the hair and leave other parts.
Abdullah ibn Umar (G. p. H) narrated that: "The Prophet (P. B. U. H) forbade them to partially shave their hair".
[Al-Bukhari, Vol. 5, The Book of Dress, Chapter 70/5577].
However, there is no harm in shaving the whole head out of cleanliness or letting the hair grow for those who are willing to comb and oil it.
The evidence that it is permitted to shave the whole head is that Ibn Umar (G. p. H) narrated: "The Prophet (P. B. U. H) saw a boy who had shaved part of his head and left the other.
The Prophet (P. B. U. H) forbade him to do that and said:
"Shave it all or leave it all".
[Abu Dawood, Vol. 4, The Book of Combing (The Hair), Chapter 14/4195].
It is sunna for a man to shave his head after performing the actions of hajj or umra, and for a baby-boy on his seventh day.
Finally, it can become obligatory if one has made a vow to do so.
2- In the Shafi'i school of thought, it is makrooh to pluck or remove the beard.
Moreover, Imam Al-Shafi'i regards this forbidden.
Ibn Umar (G. p. H) narrated that the Prophet (P. B. U. H) said:
"Trim the mustache and grow the beard,"
[Muslim, Vol. 1, The Book of Purification, Chapter 16/52] and he also said:
"Differ from the pagans, trim your mustaches and grow your beards".
[Muslim, Vol. 1, The Book of Purification, Chapter 16/54].
Also, Abu Hurayrah (G. p. H) narrated that the Prophet (P. B. U. H) said:
"Trim the mustache and grow the beard, be different from the Majoos".
[Muslim, Vol. 1, The Book of Purification, Chapter 16/55]
If a woman is afflicted with facial hair as in a beard, mustache, or hair under her lower lip, she can remove it.
It is possible to compare the hair on a woman's arms and legs to this,
since the basis is the non-existence of such hair, and because removing it will not lead to incorrect feelings or actions. (pa: 28)
3- It is makrooh to pluck gray hair.
Amru ibn Shu'ayb narrated from his father, from his grandfather, that the Prophet (P. B. U. H) said:
"Do not pluck gray hair for verily, each hair that goes gray in Islam..."
and in a narration by Sufian:
"... Becomes light for its owner on the day of judgement," and in a narration by Yahya
"... Allah (G. B. H) will write because of it a good deed for that person and erase a bad deed".
[Abu Dawood, Vol. 4, The Book of Combing (The Hair), Chapter 17/4202]. (pa: 29)