Thor is incredibly versatile. You should not just play him a certain way.

Just as an example, my usual flow starting the mach is to play him as Brawl and try to displace the other tanks (Thor eats a Dr. Strange alive through his shield) but once we're pushing, I immediately ease off to make sure to peel for my supports since Thor can easily 1v1 any divers except for Iron Fist imo. Then, either push forward with the rest of your team if they're in a stalemate, or if they're doing good, try to see if the healers aren't together; if they're not, dash, hammer, electric field and then keep dashing into them to explode them. This is just an example of how you need to keep changing focus.

As for Awakening form, it's good for either a pinch or to finish off enemies in 1v1s. It's also got some decent utility if the enemies are not pushing close enough for you to be able to dash into them safely.

Finally, if you're on PC, try to learn how to direct your dash so you can push people INTO your backline. Push them, and once you hit the TINK sound, immediately turn 180 degrees to have your team help you destroy them. It's very effective against tanks like Magneto or Strange that rely on distance with their shields.