Let's see.
1)
Obviously not all the dimensionless parameters are calculable. Some may be, we don't know how many. But certainly not all of them. The idea that this is possible was basically only ever a pipe dream, and the discovery of spontaneous symmetry breaking has basically put the nail in that coffin. The grand unified theory proposals that we have are also all moving further in the direction of more spontaneous symmetry breaking, not less.
2) Yeah, okay, this one is completely unknown. And, unfortunately, we don't have any clear prospects on learning the details of quantum gravity on the horizon, because experimentally it's such a difficult problem.
3) Also unknown, but clearly it takes a very, very long time for protons to decay.
4) Supersymmetry is a really interesting topic, and there is hope that if supersymmetry exists that the LHC will be able to find it, possibly very soon. So maybe we will have some solid knowledge on this front within just a couple of years.
5) As I understand it, you don't get a universe that permits observers unless you have 3 space and 1 time dimension. Fewer dimensions and reality is too simple, so that observers
can't exist. More dimensions, or a different mix of them, and reality is unstable or inherently unpredictable. Because of this fact, it is unreasonable to expect any deeper reason for why there are three space and one time dimension.
This paper discusses this fact, among other things:
http://arxiv.org/abs/gr-qc/9704009
6) This is another good one. And even just saying "there is no cosmological constant" doesn't solve the problem, because then you have to explain why it is zero.
7) Another interesting one.
8) I believe Hawking finally solved the black hole information paradox by proving that a black hole which forms and evaporates in finite time leaves the information content of the universe unchanged.
9) This, to me, is tied up with question 2) and isn't really distinct.
10) This one I have no idea about. Seems pretty interesting, though.
11) Why is it important? Because it's interesting!