Ask a landlord-tenant lawyer and get answers ASAP
First, if fire happened, owner should notify insurer who normally covers. If you have renter insurance, likewise notify insurer.
For liability, to the extent landlord can show you caused the fire and did so negligently, then you could be liable for damages incurred to real and personal property belonging to landlord. If you caused it and there is damage, agreeing to move is not a bad solution but get a written release first and agreement. Kindly rate the answer positively.