I think that there are two differnt things going on. First, when your equilibrium is 'off', this can be related to a problem in your ear. Pehaps you can give me a little more detail about what you were told at the hospital. A medication for motion sickness can be used for the dizziness. I just want to know that your blood pressure is normal and you were not experiencing a drop in your pressure, requiring the visit to the hospital. Please let me know just what the doctor told you.
Second, the sneezing and coughing can be from a cold coming on, and a decongestant would help to alleviate the congestion, along with with plenty of water and other fluids. However, if you have a bacterial infection, you would need to get antibiotics from the doctor.
You can continue the aspirin or tylenol for the fever?
If you have a viral infection then it would have to run it's course.
How is your dizziness or off balance feeling, currently doing? Are you having any pain?
Before you take a decongestant, please tell me what medications you are currently taking.