Can you please explain the difference between Blue and Lavender and why lavender will work in a sex link cross.
Sure. "blue" (the more complete name might be "Andulusian Blue" after the original breed it came from, but often called BBS or Blue/Black/Splash), is partially dominant. In a heterozygous state (1 copy) the bird appear blue and passes that to about half it's progeny, so when crossed to a black bird (like a barred rock hen), half will be blue rather than black. If the parent is splash instead of blue, all the progeny will be blue.
A Lavender bird, OTOH, must be homozygous (2 copies) in order to show as Lavender as Lav is recessive. A bird that is "split for Lav" will be black, but carry a hidden copy of the Lav gene. As long as the other parent is not carrying Lav (a reasonable assumption with a barred rock hen, but not a guarantee), then all the progeny will be black, but carry a hidden Lav gene. Since the chicks will appear black, the requirement for an easily sexed chick being black with only the female parent being barred, is met.