Anyone would notify their landlord of a typical water leak since nobody wants water damage but something like this isn’t really noticeable to the tenants or causing damage so they might not care.

My insurance is covering me, but they already said they will be going after the owner of the other house for recovery of damages.  

Send tenant a report with any damage they caused, none in this case.  

Situation is this: tenant informs me that the door to the walkout basement (currently unfinished/storage) is open, but that nothing seems to be missing/damaged.

I have some water damage repairs to do in a kitchen ceiling.

If you are depending on section 8, know that your units will have to be reinspected ever year and you will have to make repairs to cover the damage the tenant did to the unit.

We might disqualify someone based on misdemeanors if they are excessive or disruptive in nature - i.e. disturbing the peace, non-felonious intentional property damage, etc.

The previous owner must have been upset about his/her loss because there were holes in almost every wall, lights pulled from the ceiling, appliances damaged, etc. 

I want to purchase a property that has an old roof that will eventually need replaced I’m wondering if it would be covered under storm damage even though it would be a newly purchased rental property 

Example, the water heater leaks, create damage, mold, remediation, etc.. what they will tell you, you should replace or performed preventive maintenance on the unit, no proof of it.