Yes, they can improve the electrical conductivity of CNTs. However, in the composite structures, this improvement may not be significant since nanoparticles could easily be covered by polymer matrix making electrical connection between particle-particle junctions very weak. I recommend to use higher dimensional materials such as nanowires or graphene so that they can provide larger overlapped area in the junctions. My recent review paper may give you a better idea:
If you use CNTs/TiO2 modified with silver, it can also serve in enhancing the electrical properties. you can find more in Zhang feng-jun and OH won-chun's publications.
I don't think so, the first question, how you connect Al2O3 and TiO2 for the charge movement?, perhaps you can improve absortion energy around UV and improve to the dispersión of CNT in the polymer matrix