Jamie addresses a joint session of the legislature asking that the Governor be impeached. This would never happen due to separation of powers for one. Any call for impeachment would have to come from the member of the legislature. Probably from the house or representatives and tried in the senate. If the Governor were removed, he would be replaced by the Lt. Governor, nor a special election.
Beth asks her dad about the Train Station, but she should already know because she followed Jamie there in a prior season, and took a photo of him and the body of a reporter he killed.