Drag Rear Tyre Advice

I want to purchase a set of drag slicks for the Duster to go racing next month and just need some advice. On the rears I have 15" x 8" rims and rear diff ratio is 4.10's.

Question 1: What size tyre should I run? 27", 28" or 29"

Question 2: Should I run ET Drag Radial or Full Slick?

Question 3: If I run a full slick on rear do I have to run different front tyres?

Thanks for your assistance guys?