Generally cheap luxmeters have problems near the edges of the visible spectrum because their filters sensitivity peak (in the green part of the spectrum) is shifted a bit compared to the real peak of the human eye’s sensitivity. This shifts the entire sensitivity curve causing large errors in the blue/purple and red part of the spectrum.
A lux meter measures brightness, so basically it measures the power of the light that hits it, but it has a filter which corrects the spectrum for the wavelength dependent sensitivity of the human eye. The filter changes the measurement from watts/meter^2 to lumens/meter^2.
Lux is basically directional light. Lumens is the total amount of light emitted in all directions.