My sister had bronchitis and the flu simultaneously last year. She was miserably sick. She was on antibiotics to keep her from getting bacterial bronchitis.
It took her about two weeks to really feel better. She was running a pretty high fever and we talked about whether she should go to the ER or not. Fortunately, she didn't have to, but she was laid out for a while. I've been that sick, but it's been a long, long time.
The upshot is, even though bronchitis isn't as serious as pneumonia, it's still nothing to mess around with. See a doctor and take your meds like you need to.