Can I add new rules to inherited tenants? Like no smoking?

[Orlando Goodon]

Just closed on a quadplex and I've identified several problem with tenants, that I want to address. Can I tell my tenants:

Smoking is not allowed in the house or within a certain distance from entrances(Just like standard rules in offices)

All possessions are to be kept inside your unit. Clear the patios and hallways.

I would also like to know about the people staying in my house, just like when you find tenants yourself. I want to know the things you get on applications:

Who is all living in my house

How are they able to pay the rent (income/job info)