When Frank returns from his evening with Sandy, Claire is seen with a cigarette in her right hand. It is not smoking. In the next scene she gets up with a drink in her right hand.
When the prison is being dismantled one of the Redcoats says something about the Queens 8th Dragoons. However in 1756 when the story takes place the only Queen was the wife of the Ling and not Queen in her own right and would not have her own Dragoons.
When Claire is struggling to light the gas stove, there is a blue frying pan on the burner with an egg already in it. The egg white is opaque, not clear, so the egg is already cooked even though the gas is not yet lit. Although, as she entered the kitchen she looks over with surprise at the stove. She had already been cooking the eggs and bacon and the fickle stove had gone out. She was re-lighting the stove.