Answer
(Fatwa: 1548/1548/M=1431)
(1) No, she cannot cut her hair. It is unlawful and sin. It is not lawful to do so to please one’s husband too.
قطعت شعر رأسها أتممت و لعنت زاد فى البزازية : و إن بإذن الزوج لا طاعة لمخلوق في معصية الخالق . (درمختار)
(2) It is baseless saying. It has no proof in Shariah.
(3) There is no harm in cutting the hair in small size to set the tip of hair and to protect it from harm.
Allah (Subhana Wa Ta’ala) knows Best
Darul Ifta,
Darul Uloom Deoband