It would depend on how high your BP is, it is normal for it to be slightly elevated when you are sick, stressed, very tired or etc. Unless it goes dangerously high or stays above normal levels for a prolonged period, your doctor won't do anything anyway.
There are many things that can cause your symptoms, cold, flu, viruses, bacterial infections and yes, even your stuffed up sinuses can throw your equilibrium off like that.
Unless it gets really bad, or lasts more than few days, your best idea it to rest at home.
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