Baseboard/skirting board before or after carpet tiles?
You could do it either way. I probably would not put carpet in a laundry room as that area is more subject to spills, like a kitchen, and it’s harder to clean up detergent or water from carpet than vinyl, but...if you choose it, then: there are advantages to either order. The carpet tiles may need trimming and putting the baseboard on last will cover the edges so that will look a little neater. 

Applied last, the baseboards will sit a little higher off the subfloor and may just look a little different. Only downside I see is if you want the baseboards to sit at a level that matches the height of another section of baseboard not above carpet tile, in which case you could rip it on a tablesaw to make it shorter to match the final height.