Will the results of liver panel tests point to the presence of hepatitis c?

Maybe. Abnormal liver chemistries (lfts) can be seen in abunch of disorders. Need a good history. Abnormal lfts generally initiate more testing to check on the cause for them, including viral infections (including hep c), autoimmune, metabolic, toxic, etc. Most patients with hep c don't have much in way of symptoms, tip off may be abnormal lfts.
No. Hepatitis panel tests include antibody against hepatitis c (hepatitis c core antibody).