The house I rent has been sold, when I moved in I paid a deposit, who is how responsibale for my deposit when I move out? The new landlord or the old one as the landlord was a family friend. Will I get my full despoit back even though I am not stopping the full term of my agreement (I have given 2 months notice rather then 1 as stated in the agreement and the house is in a good if not better state then when I moved in)?

First its not a good idea to piggyback your question on someone else's. This can lead to confusion. You should start a new thread. So I've moved your question to its own thread.

Were you under a lease? The new landlord has to honor the terms of the lease. They may not be legally allowed to force you out until the lease ends.

Second, the previous owner is responsible for transferring the deposit to the new owner. So the new owner is responsible for returning it. If the previous owner did not transfer the deposit the new owner is still responsible.