The correct options are
B With increase in temperature, the value of K for endothermic reaction increases because unfavourable change in entropy of the surroundings decreases
D With increase in temperature, the value of K for exothermic reaction decreases because favourable change in entropy of the surrounding decreases
ΔSsurr=−ΔHTsurr
For endothermic reaction, if Tsurr increases ΔSsurr will increase.
For exothermic reaction, if Tsurr increases ΔSsurr will decrease.
So, with increase in temperature, the value of K for endothermic reaction increases because unfavourable change in entropy of the surroundings decreases.
With increase in temperature, the value of K for exothermic reaction decreases because favourable change in entropy of the surrounding decreases.