The pic you show: shutterspeed too high, should be around 1/15 second.
The behavour of your lightmeter: if it uses a photo-transistor or diode it's normal: photo transistors and diodes are very fast, if you aim one to tube-light, you can actualy pick-up the sinus wave of the power outlet.
That is why you need a DC operated light for a shutterspeed tester.
TL flickers constantly and has a green component, that is why I don't like them: the brain is constantly correcting these things and it tires you.
Peter