Can we classify all topological space $(X, \tau) $ where every second category sets are Residual sets?

Question

$(X, \tau) $ be a topological space.

$A\subset X$ is Residual if $X\setminus A$ is of first category.

In a Baire space, a Residual set is of second category.

$A\subset X$ Residual, then $X\setminus A$ is of first category.

And every Baire space is of second category in itself implies $A$ is of second category.

Hence, in a Baire space $ (X, \tau) $ every Residual set is of second category.

My Question :

1. In a topological space $(X, \tau) $ every Residual set is of second category. Does this imply $(X, \tau) $ is a Baire space?

2. Can we classify all topological space $(X, \tau) $ where every second category sets are Residual sets?