With the short trip you might consider a block heater to warm the car up ahead of time. Some guys use them even in summer to really negate the hit from a cold start.
As for the 'kill and cost', make sure that it is safe to flat tow your vehicle since it is automatic. Coasting with the engine off may damage the transmission as some trannys need the engine running to pump the transmission fluid around to keep everything lubed up. We don't want to see your transmission fail.
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