What can be done to fix my uneven lips and weak jaw? (Photos)

Your assessment is interesting, especially when you talk about your cheeks.
Your anteromedial cheek region is rather sunken in; thus, your zygomatic bone looks as apparent in your last picture. This effect will be more evident as you age and lose more or that youthful fat in the mid-face.
However, when you smile, your face becomes round, and perhaps a combination of custom anteromedial cheek region implants with the removal of buccal fat pads will address your "unknowns." It will give you contour in the cheek region of the face.
Often, removing the buccal fat pads can be counterproductive, so a closer examination is needed.
The jaw is a little harder to assess because this can be very subjective. Better pictures or videos without the facial hair would help.
Best regards,