What's the best option for two really deep, wide, wrinkles on one side of my upper lip? (Photos)

I see early signs of skin laxity, which can lead to the formation of lines like these.It appears that you might benefit from a skin tightening treatment like Ultherapy, possibly combined with some filler to address that specific area. Ultherapy is a noninvasive treatment that delivers ultrasound energy deep into the dermal tissue without damaging the skin. The result is constriction and a boost in collagen production, which smooths and firms the skin from the inside out. There is no downtime after treatment and results continue to improve in the weeks following your session. I encourage you to schedule a consultation with an experienced, board-certified dermatologist who can examine you in person and create a customized treatment plan to help you achieve the best possible results. 

Hello and thanks for your question. in this case I would advise trying fillers again with an expert injector- this should be easily rectified but the right practitioner, Best wishes 

these lines are from volume loss AND sagging, you need skin tighteing plus volume. lasers, microneedling and fillers will all help.  I suggest daily hydration and plumping to the lips themsevles too especially restorsea exfoliation to help the lines above the lips.  but overall you need a face/neck lift and morpheus treatments if you truly want to get the skin tighter again.  see link to emeragecosmetics.com where we do daily free skincare consults.  Best, Dr. Emer.