Actually, from what I gather, the machine will cause the subatomic particles to be in a state that simulates the CONDITIONS following the Big Bang. Simulating the conditions does not equate with creating another universe or, for that matter, another big bang. Essentially, the moments after the Big Bang had particles not yet 'resolved' into their current subatomic state of protons, neutron, and electrons... these formed only after the universe cooled. As such, when they speak of recreating the conditions, they mean having the ability to look at the component parts of the particles as they were in the early stages, and, as such, the constituent parts of the words. I believe, from what I have heard, the intent in doing this is to have a better understanding of Higgs Particles (at least, so it said on the BBC article... read that, rather than Fox News), that is, the particles that are theoretically believed responsible for the effect we call 'mass.'
As I said, I believe you are confusing the idea of recreating the conditions. This does not mean they are attempting to recreate the Big Bang, so there is absolutely no chance of creating another universe. As for the Black Holes, from what I have heard they will likely be created, but they will be so small as to dissipate very quickly, or would take billions of years to reach any sort of dangerous size. Remember that a Black Hole is typically formed from the explosion of a supermassive star (ten or a hundred times the size or our sun) so the amount of matter contained in such a Hole is incredibly more than even if our whole planet became one... and certainly far more potent than that which would be created by the collision of subatomic particles. It must also be recalled that in high energy reactions that naturally occur in the atomosphere black holes such as this do continually form and dissipate (something I read in another article.) As such, the peril of this would be about the equivalent.
I, for one, am for this experiment. As limited as my understanding of advanced physics is, I think the naysayers are quite off base. It will not create a quasar within the earth, and it most certainly will not pose the danger of creating a Big Bang. As such, all these possibilities you mention are moot: you are assuming that they are trying to recreate the Big Bang, which they are not, and therein lies the root of your error.