HBsAg positicity not always is accompanied by the viral presence in the serum of patients. So the best method to confirm viral positivity is a confirmation by HBV DNA dtection by PCR method.
All your details are basics that every doctor should know when to prompt an investigation for diagnostic purposes. Regarding the specific question, the HBV DNA is the gold standard for demonstrating the presence of HBV in the body of a patient and the HBsAg is highly sensitive and specific, but not always gives the certainty of what you want to determine . I must add that the presence of the virus in the serum reflects very often histological framework of chronic hepatitis on liver biopsy.
To confirm the infection of HBV, using HBV DNA detection is the golden method. However, to judge different resluts of HBsAg by diffrent equipment just rely on HBV DNA is not reliable. Because positive result of HBV DNA has no consequent HBsAg positivity. So you cann't get the exact answer which equipment gave the right result just from DNA test.