I don't know how old your daughter is, but I hope she is feeling better. There are different types of pneumonia, ie walking. I agree about the feeling about the chest. If it were pneumonia I would think that the doctor would have been able to hear it. I believe "rails"/crackling sounds is one sign of it.
The blood tests will probably have more info. on how she is to be treated. About the Tylenol, most over the counter drugs work well, but even if you follow the recommended dosage and schedule, I believe they don't recommend she take it for an expanded period of time. I don't know what else to recommend.
If you don't go to the ER, be at your Doc's door the time they open. Tell him you will wait there for the blood test results and maybe he can light a fire under someone's butt. Make sure she stays hydrated!
Sorry, I couldn't really help, but I wish madbanana the best and a speedy recovery. Keep us posted.