All this says is that EA got the rights to cancel your origin account after 2 years of inactivity, just like steam got the right to cancel all your shit whenever for whatever reason. IT DOES NOT MEAN THEY WILL DO IT. Their just reserving the right to do it.
I very much doubt you'll be able to run the game playable at all. Your graphics card (4250) is an integrated card and doesn't really come close to a 8800/3850 which is what their recommending as minimum system requirements. The fact that its a laptop just makes it all that much worse.
So no, your computer does not meet the minimun system requirements and you will probably not be able to run it very good at all.