I think I have answered a similar question before. But anyways. Through everything, means in any circumstance, in every good and bad, in all happy and sorrow, in every thick and thin, he's still my dad. "He beats me when I make any mistake or when I don't listen to him. I know he's too strict but through everything, he's still my dad and I love him"

sorry... spelling mistake: "despite - NOT depite"

"through everything" can mean "despite everything" or "regardless of everything" or "nevertheless" or "nonetheless" or "depite everything" or "even so" or "even though" and yes, it can also mean "anyway".