Should i still care this when the status is solved,and the (cvx_optval) is neither -inf ,+inf nor NaN?

MOSEK issued warnings about (nearly) zero elements. So change units or something to improve problem scaling so that non-zero input data is within a small number of orders of magnitude of 1.

You should also use the latest version of Mosek 10.x, rather than 9.1.9 which is bundled with CVX. In order to do so, follow the directions in

Further to @Michal_Adamaszek 's post to absolutely never ever use cvx_precision best with Mosek, that applies to all solvers. cvx_precision is a well-intensioned, but as we now know, misguided capability.

After doing all this, try again.