Necessary repairs vs unnecessary tenant requests

[Tim Kersting]

So the quick version of this is:

My mom moved from the area (sf bay area to so-cal) and kept her house here. I am the "property manager" for the time being.

We did as much as we could to get the place rent ready in the month or so that we had after she moved, knowing there would be a few remaining items after the tenants took occupancy. 

Since the tenants moved in around March there have been a number of issues that to me are in the gray area of what should be required by a landlord/property manager.

Granted, this is good practice for when I eventually get a rental property of my own... So it's sort of on-the-job training, or an apprenticeship if you will.

Some of the requests are easily seen as necessary. Such has leaky shower handles, sink drains that don't drain and a downspout that was missing and causing a mess.

Here are some of the complaints that in my opinion are in the gray area of what is required. 

A bathroom vent fan that doesn't work, 

a vanity drawer with no pull out stop even though it wasn't designed with one. 

Removal of a garage shelving unit.(should be left on site?)

Replacing particle wood under the kitchen sink that the tenant claims is moldy... It's not mold it's just dingy. 

Put out traps for cockroaches, of which there were none before they moved in, and we saw no evidence of when putting out traps. 

Replace a leaky garden hose. 

Also, they broke the skylight lens when attempting to clean it... I believe they should at the very least split the cost with us.

So the point of all of this, is how do we determine what MUST be repaired or what request need to be answered, and what is just them wanting an upgrade, or them wanting an on-site maintenance person?

Currently, i too am a renter, but i feel i take ownership of the house that i live in and do a lot of this smaller stuff on my own after checking in with the landlord.

Is this a case of me needing to change my mindset? Or is the tenant being a little too demanding? I'm actually okay with going by the property to take care of certain minor things so I can keep an eye on the property, but some of these items seem like minor inconveniences that don't really need to be addressed right away. Mind you, most of these have already been addressed.

Thank you in advance for your thoughts.