Welcome to the Jackson club! I guess it depends on which Jackson Dinky you get (there's a wide range). Mine came stock with Seymour Duncan JB and Jazz. I don't really know anything about Screamers or EVH pickups. I'd suggest just trying the stock pickups. You'd be far better off working on chops than spending money on pickups.

I believe the original Frankenstrat just had a Gibson PAF in it. I would imagine that pretty much any humbucker (maybe beside the SUPER overwound ones) would be able to give you that 80s metal Ozzy, ACDC, Van Halen tone.