We always go with the 1 year renewal, to avoid the holiday/school year situation, not to mention North Jersey winters.How about offering them a x month renewal that gets you through the wintertime, and allows them to break the lease if a suitable tenant is found as a replacement?

I sent her emails about house rules that she had agreed to in writing, and now was not up holding ( no visitors, but she had daily people who would pop by out of the blue). 

If they aren't ready to sign a lease, they aren't a suitable candidate for the property. 

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Along with the 5 children and the 4 lease holders we have other visitors throughout the day and even though it's been a week since everyone moved in, I've had 10-13 people in the apartment everyday.

If the Judge believes that the Tenant they chose was suitable enough for you to accept, they might not award you the rest of the rent that is owed.   

My point is if you have a belief that due to their particular classification, definition or whatever renting to them would places your business at a higher risk do you choose not to rent to them.By not renting to them I am not suggesting you deny their application based on your belief but rather do you continue to advertise and screen applicants for a more suitable/better or equally qualified candidate then simply notify them they are not accepted.

there are places to park for these visitors, they just weren't in them.

However, the tenant's visitors do not disturb the other residents in their peaceful enjoyment of the premises.

Galveston. areas that might not have a large population normally, and get a lot of money from visitors.