Is the dual category of an Abelian category also an Abelian category?

Question

Is the dual category of an Abelian category also an Abelian category?

In an Abelian category, does it have coproduct of any pair of objects?

Answer 1

Yes to both questions.

1. The axioms of abelian category are self dual.

2. An abelian category is in particular additive category, which admits binary products/coproducts.