No. It may show abnormal sodium levels but that is very non-specific. You need the liver tests which is in a comprehensive metabolic profile.
Yes, it could. A basic metabolic panel includes glucose. If it is elevated, it could indicate diabetes, which is one of the most common metabolic abnormalities. It could also point to a kidney abnormality as electrolytes are part of the profile. It won't show liver abnormalities however. That would require a hepatic panel or a comprehensive metabolic panel.