Will DayZ run on a Hp 2000 Notbook Laptop?

It runs 15-30 fps on Minecraft using task manager and has a 5.3Gb of ram

Nope. My laptop runs minecraft on max settings at 70fps and can't even play DayZ at a playable frame rate. It's mainly just because the game is so poorly optimized.

I need specs mate

Most likely no, minecraft at those frames is pretty low, and DayZ is a graphics intense game, and I don't think it will, you will need a better graphics card and/or a better processor.