You don't need 6 colors. 3 colors would be sufficient, 4 colors is nice.

I would go with a pattern with edge spots personally. You're just going solid? It's really hard to judge from the picture. Can you get samples from them? I like rich colors, so would pick:
Royal or Blood Red, can't tell from the pic
Laker Purple, even though I hate the name
Black
Light blue

Might get Hourton Blue and purple if the Laker Purple doesn't contrast very well with the black

Others: white\orange\forest (or dairy) green

Not sure what help you're looking for here.