Yes, you can spend Edge to reroll all the dice that didn't come up as hits, so that's a 10 dice reroll. Also, now that you've spent Edge, any die that comes up as a 6 get to be rerolled too, hopefully to get a second hit off the same die.
2 hits out of 12 dice is a sucky roll, you should have twice that on average, and as the face, this is the kind of roll that we usually really want to succeed.