Projectors are H3C AFAIK (I have R31 and R32 GT-R + GTS-t, all are H3C).
They take about a minute to fire up completely, how much light you get just after you turn it on depends on the quality of the ballasts and bulbs.
I have 4300K in my car, it's a tad blue (projector design, nothing to do with the Kelvin, I have 4300K in my R31 and it's white like OEM). 6000K will be pretty blue.
I think high beams are H3, or maybe H1, can't remember.