Purchasing a duplex with existing tenants

[Josh Kraft]

I am in the process of purchasing my first property to hold and rent and have ran into an issue. Both sides of the duplex are currently rented out, one tenant is happy and the other has run into some financial issues and has asked to be replaced so they can break their lease. I was under the impression that they were up to date on rent, but today the current property manager reached out to me to update me on the situation. The person is 2 months behind on their rent and the property manager already served them a 5 day notice. I am hoping the current owner takes care of the eviction (so they can have the judgement for back rent), but what if they do not? Will I still be entitled to their security deposit at closing? Can I file for back rent if the current owner does not and leaves me with a tenant who isn't paying? Can I say I don't want to close until that person is out of there? 

This is definitely not the way I wanted to start out :(

I'm not sure if this post belongs in the landlord section or somewhere else, since it is an odd situation.