The low humming on a 2005 Honda Accord could be one of several things. The most common source of a humming noise is a wheel bearing which may be coming loose. If the noise get louder over time the wheel bearings should be checked.
You need to determine if it loses spark or fuel when it stops running. Once you have that info re-post the question with that info and include the year and engine of the Honda Accord.
Shut the engine off. They're supposed to be on all the time the car is running.
Your Accord is overheating. The fan is running to try and cool the engine off. seek professional help immediately before you destroy the engine.
Generally, after you drive your Honda Accord and turn it off, the cooling fan will activate. This may be the sound you are hearing. It is just the car's way of cooling off faster.
Check your owners manual for the location of your daytime running light module. The manual should have a diagram with its exact location.
A working cooling fan is important in keeping the engine of a car running well. A diagram for a cooling fan in a Honda Accord can be found in its maintenance manual.
If a 2000 Honda Accord gas light stays on the fuel sensor may be failing. Running a diagnostic tool will show if the fuel gauge sensor is malfunctioning.
It depends on if it is stock or not. Generally, a healthy running 92' Accord will get between 26mpg and 33mpg. Mine has an aftermarket exhaust system and intake system giving me a painstaking 18mpg.