My Globulin (serum) result was 3.69 g/dL and the Albumin (serum) result was 4.11 g/dL. Lab amounts were 2.50-3.50 for Globulin should I be worried?

Needs investigation. High levels of globulin at your age are likely to be due to chronic inflammation and/or autoimmune disorders. It would be prudent to see a rheumatologist for an evaluation.