Your pictures do show a bent handlebar. Replacement is the best option for that. Regarding the "pulling to the left" issue; your crash may have bent the fork blades. A tool like the Park FT-4 can check blade alignment:
As Andrew and others have noted above, the steer tube itself may be bent. Both this, and the bent fork blade possibility, are something your bike shop should be able to assess. If you're comfortable removing the fork from the frame, you may be able to save a little money by just bringing the fork to the shop. Otherwise, bring the whole bike and let the shop deal with it.