Pullets tend to lay small eggs when they first start, and over time they usually progress to laying larger eggs.
Living with a particular rooster will not change what size eggs a pullet or hen lays.
Considering the season (fall), and that those are small pullet eggs, I would just eat the eggs and break her broodiness. Then you could let her hatch a clutch in the spring, when the weather is getting nicer and she is laying larger eggs.
The best chance of a successful hatch would be in spring with normal-sized eggs from a pullet or hen who has been laying for a while. Small eggs can be hatched, pullet eggs can be hatched, broodies can hatch eggs and raise chicks in the fall and winter-- but all of these points make complications a bit more likely.
The usual advice is to not hatch the first eggs from a pullet, because her body is still working out the details of how to make an egg properly.
Also, a chick that grows inside a small egg will have to be a small chick. A chick that grows inside a bigger egg will be larger because it had more space to grow and more egg to grow from. Chicks from normal-sized eggs are usually healthier. So that is a reason to wait until a pullet is laying eggs that are a normal size for her breed, before hatching eggs from her.