So I think I proved that it's order but check my work because I'm not too sure about it.
(a,a)∈R for all a∈A, therefore it's reflexive.
(a,b)∈R, (b,c)∈R, and (a,c)∈R, therefore it's transitive.
(a,b)∈R and (b,a)∉R unless a=b, therefore it's antisymmetric.
I'm not sure how to find the minimal, maximal, least and greatest elements.