What would cause nose bleeds and your white blood cell count to be over 14.3?

Two issues. All laboratory results need to be interpreted in the clinical context and the doctor who ordered the tests is usually in the best position to do that. Having said that, your WBC is slightly high but may be your normal, if you have symptoms talk to your doctor.
Nose bleeds generally due to dryness of mucosa, and you could prevent it by applying small amount of emollient just inside opening of nose.

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