Names, Surnames & Titles

Wife taking her husband's surname

Q: I have heard that you are not allowed to take your husbands surname after getting married according to these verses: 

"Call them by their fathers names; that is more just in the sight of Allah. (Quraan 33:5)" 

The Prophet (sallallahu alaihi wasallam) said: "Whoever claims to belong to someone other than his father has committed an act of disbelief. (Sahih Bukhari 3508, Muslim 61)". 

a. Are these quotes correct? 

b. Is the statement you're not allowed to take your husbands surname after marriage correct? 

c. I know of people who have registered themselves for marriage at Islamic centres and they have asked women if they want to take their husbands surname. 

Keeping the name Uthmaan and name having an effect on the child

Q: I wanted some information regarding naming my son Uthmaan after the Sahabah Uthmaan bin Affan (radhiyallahu anhu). We have heard a lot of good about this Sahaabi but wanted Mufti Saheb to share some information regarding him which is authentic as well as if you can send information regarding the meaning of Uthmaan. 

I also wanted to know, does the meaning affect the child or if the child is named after someone will that affect the child?