I guess if my house got broken into, and they asked me for all the names of people whom came by, I would tell them to help solve the case.

Tell them you usually fix things that are broken at a tenant's request, rather than upgrades that weren't there before.

Throw out the broken items and hope that my landlord would not notice what's missing C. 

They say the well got broken so the hoarder was doing it without flushing it down.

One of my tenants called that there was a broken window at the property and wanted me to fix it.

Fixed costs are generally broken down in to 3 categories:  Buying Costs, Holding Costs & Selling Costs.Buying Costs - Costs associated with purchasing the property.  

Visit them a lot, figure out what's broken and fix it.  

My accountant said that since this extended the life of the property, it could potentially have to be a depreciable asset - I on the other hand thought this was more of a repair since it was fixing a broken furnace.

And run it long enough to be sure drains aren't blocked - a loooong time with all faucets on.Mark's idea of a pressure test actually could tell you more than having the water on, i.e. broken pipes that are hidden or under ground.Electricians always have tricks to get around no power.Just be sure to have plenty of light(a powerful spotlight type) so you can really have a good look.

I noticed 3 large, broken flower pots in the back yard.