Hey,
Although not specified, I'm guessing the meaning is for all "L" between 1 and d (seemed to work out for me).
Regarding the norm(z)4-2 in questions 3-4, I believe it refers to the Euclidean norm quadrupled (also seemed to work out for me).
I'm not 100% sure about my answers, so some clarifications would be nice.
Nir