Evaluating each statement:
(A) TRUE - More covalent bonds with lesser charge separation increases resonance stabilization.
(B) FALSE - In electromeric effect, unsaturated systems show +E effect toward nucleophiles and -E effect toward electrophiles, opposite to stated.
(C) TRUE - Inductive effect of polar groups affects melting points, boiling points, and dipole moments.
(D) FALSE - Greater alkyl substitution on doubly bonded carbons decreases heat of hydrogenation (more substituted alkenes are more stable).
(E) TRUE - Higher s-character of orbital holding negative charge increases carbanion stability.
Statements NOT true: B and D. Therefore answer is B & D only.