Does this sound like an infection to you?

So, a couple months ago a piece of my tooth came off. I was worried about infection but after two weeks and a ER trip they assured me it wasn't an infection and gave me signs to watch for. Went to a dr(unrelated) had her give my tooth a look while I was there. Despite having two lumps under my jaw that weren't there before she said no infection. Fast forward to a week ago. I've been in pretty much constant pain on one side of my face. Theres no redness to the gum at all but every so often I get a weird taste in my mouth. I haven't got a fever but my face is very slightly swollen(over where the tooth is that's missing a piece.) Unless I take advil or something before bed I can't sleep because of the pain I'm feeling. I can't chew on that side of my mouth because it hurts and I have this weird tight feeling in my chest.

I guess what I'm asking is if you can have a tooth infection with no sympthoms other then a lot of pain? It hurts so bad.