Can I use lemon juice, vinegar, or baking soda as a facial treatment?

I would not recommend making an acid or exfoliating treatment from kitchen ingredients. Home ingredients are not formulated or buffered for facial skin, so 'natural' does not make them a gentler shortcut.

“Natural” does not make a DIY acid safe

You cannot judge its suitability just because it is natural. If you have already used one and it burns, rinse it off and stop; seek medical advice for persistent or significant symptoms.