I have a sgpt (alt) of 52, sgot (ast) of 27, and my ldh of 268, should I get more tests?

Enzymes. The ldh is a bit high, this could be abnormal or be a lab error. Best to discuss with your doctor.
Yes. One approach is two weeks off your meds and alcohol; if now normal, good. If not, a check for hepatitis b, c, autoimmune hepatitis, hemochromatosis, and maybe wilson's is in order. These returning as normal, try a fitness lifestyle to manage the liver disease that some folks get that's best managed with exercise. Cheers.
I would. Recommend a discussion with your physician as more information @ history is needed.