Is a badly fitted bridge the cause of my bad breath?

Q.
About 5 months ago I had a bridge installed on 30,31,32. The next day, I called the dentist back and told him that there was a gap between the lower and upper teeth. The dentist told me that he left a bit of a gap because I had to have a root canal on #32 prep and he didn’t want to irritate it. He said that the teeth would naturally come together over time and my bite would be normal. This sounded strange to me, I didn’t know how teeth would get longer, but I didn’t pursue it further.

In the last few days, I have noticed that I have bad breath even minutes after cleaning my teeth and rinsing. I’m also having some very slight pain on my #3 tooth, directly above my new bridge. Could this be a result of the occlusion not being right and the tooth extending down too far to meet the bridge on the bottom and exposing too much of the tooth. I suspect that I have an abscess that is draining in my mouth and causing bad breath. But is isn’t painful because it is draining. If this is the result of a poorly fitted bridge, then I think this dentist should be responsible.