The face here represents Yahweh's attention, and hiding the face represents rejecting someone. AT: "Do not reject me" or "Do not stop taking care of me" (See: [[rc://en/ta/man/translate/figs-metonymy]] and [[rc://en/ta/man/translate/figs-metaphor]])
The words "forsake" and "abandon" mean the same thing. The writer is emphasizing that he does not want God to leave him. (See: [[rc://en/ta/man/translate/figs-doublet]])
The abstract noun "salvation" can be stated as "saves." AT: God who saves me" or "because you are the God who saves me" (See: [[rc://en/ta/man/translate/figs-abstractnouns]])
"Even if my father and my mother were to forsake me." He is not saying that they actually have done this or that they would do it. His point is that even if they did that, God would not abandon him. (See: [[rc://en/ta/man/translate/figs-hypo]])