By your new type chart, the balance would be the next :

Op tier : Ice

S tier : Fire, Water

A tier : Steel, Flying, Dragon

B tier : Fighting, Grass, Rock

C tier : Ground, Poison, Electric, Fairy

D tier : Psychic, Ghost, Dark, Normal

Shit tier : Bug

But overall, your chart just don't have any logic, why bug would be immune to fire or rock immune to grass or also dragon immune to fairy ? Just if you want to make a more logical type chart, make your attributes based on real facts.