The driver is responsible for all repairs to all damages to your house, and any loss of income that you suffer as a result. So that means he needs to pay for the loss of rent that you incur. The tenants (and/or their insurance company) ought to collect money as well for any of their stuff being damaged and the cost to move. It's nice that they have signed papers stating that you are not responsible.
I would be thoroughly inspecting the house, documenting with video, and looking for any damages. Damage could have occured to parts of the house that are distant from the site of impact, so I would inspect the entire thing.