It could be a possible head gasket that is blown. The problems may not be related. You could have an oil leak or could be burning oil. You may have a coolant leak some where. Burning oil results from oil getting past the piston rings and entering the combustion chamber. You don't really burn anti-freeze it usually just leaks or enters the oil via a cracked head gasket.
Both the oil and the antifreeze is burning
Might have a blown head gasket is there antifreeze getting in the oil thats a good sigh that it blown head gasket
Do you get fluid spots on the grownd when you park it for the day