#1
I know the six modes you get from the Major Scale (Dorian Phrygian etc.) and you get them from rearranging the steps that make up the Major Scale.

But when you take the steps from the Major Pentatonic

W W W+H W W+H and rearrange them such as

W W+H W W+H W are there any "Modes" for pentatonic scales?
#6
Also, there are seven derived from the Major Scale, just so you know.

Ionian
Dorian
Phrygian
Lydian
Mixolydian
Aeolian
Locrian

If playing modally it's best to see the Major Scale itself as a mode.