@X-Ray
In a respect, the BBT implies (2) - although not necessarily cyclically. This is because time, a property of this universe we find ourselves in, effectively began at the BB point also. That is, there was no "before" the BB as time itself began then. Therefore the 'grenade' was always there.
As for (1), well particles pop into existance and wink out of it all the time at the smallest scale of the universe (IIRC, that is). However, these particles appear in matched pairs, the net energy of which is zero.
This is one of the mechanisms by which black holes may lose energy. I don't recall the exact premise, but at the boundary of an event horizon, som of these particles are swallowed into the black hole and their mirrors ejected. The net effect is that the black hole loses energy (and hence mass).