Given the data you provided (mild thumb pain and burning sensation in the urethra with or without urination), it seems likely that you might be experiencing a urinary tract infection. (the reference range of uric acid is between 3.6 and 8.3 mg/dL, so there is a presumption that your results were normal in both cases, although measurement units of lab works were not mentioned in the question).
Urinary tract infection is an infection of one or more of the urinary system organs, most frequently in the urethra and bladder. The usual symptoms are: burning while urinating, cloudy odorous urine, visible or invisible blood in urine, bacteria in the urine, a persistent urge to urinate. Depending on the severity of the infection, these symptoms might be more or less exposed. The diagnosis could be confirmed by urinalysis (urine deep stick tests with urine sediment), and/or by a urine culture.
The treatment of mild UTI might begin with drinking at least 2 liters of liquids daily, cranberries or cranberry juice, parsley tea, and if necessary, continue with uroantiseptics, prescribed by a doctor. Moreover, you might want to consult your family doctor for your concerns about the urethral burning sensation.
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