The electrician said it was a 15 amp breaker and that probably the heater drew too much electricity and burned out the outlet.  

Maybe there are electrician, plumber, roofer in the area, who'd love to see this change.Getting great terms from a seller can outweigh price in some cases

When I did it myself for two of the places MLGW did not charge me a deposit...6) (last one for now) Some of the service stuff should be billed back to tenants- example: they had an electrician come out because the AC stopped working...

The property inspection report shows some defects in the Electrical, heating system, and AC duct defect.I will need a plumber, AC technician, and Electrician to look into the issues.

The only things I call to have done is the plumber when it involves a sewer snake (roto-rooter), or if the plumber has to certify a gas system is free of leaks (I don't have a plumbers license), or if something electrical has to be done by a licensed electrician (I don't have a plumbers license). 

3) Should I come up with a list of preferred plumber/electrician/handyman, etc for the property manager so that I know I'm getting good price/service?

Typically, an electrician would replace the breaker with the panel/bus live.

Now try computing for Carpenters, Electricians, Plumbers, Roofers (WC at almost 100%).

Typically I will contact my electrician for the first issue and contact my plumber for the second issue.

Seeing as much of the work will be hired out, let's assume that you'll be using an electrician (or a plumber of whatever).