In Leftwrite, every inhabitant is either a lefty or a righty. Lefties write true statements with their left hand and false statements with their right hand. Righties write false statements with their left hand and true statements with their right hand. An inhabitant wrote these statements.

1. This statement was written with my left hand.
2. Both of these statements were written with my right hand.

What type is the inhabitant, and what hand was each statement written with?