I recommend you only use 3000k, keep all the colour temperature the same. 6000k is horrible & looks worse with 3000k around. Buy a good quality brand as they have better CRI.
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Colour temperature has nothing to do with brightness. Lumens does.
Our unit is half full downlights, not our choice, if you have to use them you will most likely need the wider angle ones, 60° angle. They won't seem as bright but that is because the light is being spread wider. (Inverse square distance brightness)
I would just use Philips or Osram (we have both) they has better CRI & the LED is not over driven like a lot of cheap Chinese stuff.
6000k colour temperature may have an apparent brighter feel, but they are NOT brighter. 3000k will be more comfortable for longer periods.
The brighter Philips & Osram are around 450 lumens, with the odd globe up to about 670 lumens.
Narrow angle globes with low ceiling don't cut it, you will have a hot spot of light.
If you can I would personally get a light with a large as possible oyster to diffuse the light. It may not look high tech but you will have a much nicer diffused light which is also easier to work under. Better for the girls doing makeup!
In one bathroom we have the entire ceiling illuminated like a lift ceiling. Really nice light.
K stands for Kelvin, a measure of temperature.
In using this for light it relates to how white the light is. Higher temp is whiter light. Lower temp is more yellow (warm).
The amount of light emitted by a device is measured in Lumens.
However, a question was asked and I can only answer after making an assumption that the op is thinking along the lines of the old 240V incandescent days where you bought bulbs by white or warm and by power consumed in watts.
Because almost all caravans built in the last decade don't use 240V lights at all, they use 12V leds, we need to use the two common measurements in use today.
LEDs are rated by both the temperature (level of whiteness) and lumens (amount of light output).
You may very well find that your caravans' 12V LEDs are of some proprietary fitting design, so you can't just pop down to your local Bunnings and buy a low voltage MR16 or MU10 LED
Because houses don't go down bumpy roads the MR16 and MU10 fittings work fine in houses but would fall out of your caravan fittings.
