What rights do I have as a renter if the owner loses the house?

Diddly squat. If there was nothing in the lease about how your landlord was to disburse the funds you were paying him/her, they they could by crack with it, and you have no say. If you are evicted before the terms of your lease are up, maybe you could sue them for denial of your right of quiet possession, since you did nothing to break the lease. Try that.