Answer: A, C
Water has conjugate-acid pKa -1.7 versus 15.7 for OHX−, so protonation makes a vastly better leaving group (A true), and this is why alcohols are activated by protonation or sulfonation (C true). Leaving ability follows the weakness of the base, so IX− beats FX− (B false), and acetate (pKa 4.76) is a better leaving group than methoxide (15.5), making D false.