Purchase price: $35,000 Cash invested: $25,000 2/1 on 3 lots = 0.35 acres in Lawn, Texas - population 353.Rehab budget $10,000Doing all cosmetic work myselfHouse pier & beam foundation leveledElectrical was already updatedplumbing was already updatedCentral air & Heat was also already presentTearing off porch currently to open up.

Heat/electric is usually covered by the tenants.

Depends.You require the tenant to maintain heat in the home and if they don't, it would be considered neglect because the lack of heat could allow the pipes to freeze.

There is no gas meter - the house is fully electric (heat pump, etc).

You might try Northglenn Heating & Air Conditioning.  

Hot water, heat, stove and the clothes dryer are natural gas. 

You should therefore be responsible for the heating of that tank which then you should see an increase in your utility bill ..If it is indeed them using the water you're going to have to charge them. 

Do you have separate heat?

This will require waterproofing the basement, moving some piping, adding a doorway, moving heating and water heater.

If it isn't a safety issue schedule it at your convenience (also if you don't pay heat.)Put your location in your profile and you may get more location specific advice.