(A) Rate constant increases with increase in temperature.
$
k = Ae ^{- EaRT }
$
(B) and (C) Rate of reaction increases with an increase in activation energy.
(D) Rate of a reaction increases with increase in temperature :
T increases $\rightarrow Ea / RT$ deceases $\rightarrow- Ea / RT$ increases $\rightarrow e ^{- Ea / RT }$ increases $\rightarrow k$ increases $\rightarrow$ rate increases.