What kind of reaction occurs when the entropy change of an endothermic reaction is negative

spontaneous

reversible

irreversible

nonspontaneous at equilibrium

2. Which of the following represents an increase in entropy?

someone arranging a deck of cards in order from aces (low) to kings (high)

one end of a rod of steel getting warmer while the other end gets cooler

green food coloring diffusing through cookie dough

people arranging 80 cans into a pyramid

Since in endothermic reactions, enthalpy change is positive, and also in this question you mentioned that entropy change is negative, so simply by putting the values in Gibbs-free equation
ΔG = ΔH - TΔS
when ΔS is negative and enthalpy change(ΔH since reaction is endothermic) is positive, ΔG will always be positive, when ΔG is smaller than zero the reaction is spontaneous, but in this case ΔG is bigger than zero, so the answer would be: nonspontaneous at equilibrium
for the second question the answer is: green food coloring diffusing through cookie dough
the reason that other answers are wrong is that you are not creating any disorder in any of those mentioned activities, on contrary you are arranging them in an ordered way...
Hope I helped a bit :D

reversible

green food coloring