Your problem is reported as unbounded. That suggests your model is not adequately formulated, at least with the input data you used. Your model is big and complicated, and presumably you understand it better than I do, so you should figure out why it is unbounded.
You might want to improve the scaling (choice of units) in your problem. Numbers such as 10^(-27) may cause difficulties for solvers, depending on how they are used.
Also, you might get more reliable solutions if you follow the advice at CVXQUAD: How to use CVXQUAD's Pade Approximant instead of CVX's unreliable Successive Approximation for GP mode, log, exp, entr, rel_entr, kl_div, log_det, det_rootn, exponential cone. CVXQUAD's Quantum (Matrix) Entropy & Matrix Log related functions