Ptosis (droopiness) of the eyelids can be addressed with a ptosis surgery. It will be best to consult a board certified facial plastic surgeon in person and discuss your goals and options after a physical examination.
It is best to have strabismus surgery first and then consider eyelid surgery once healed. They are also usually best done using different surgeons with different expertise.
Plagiocephaly affects both the back and front of the head as well. Your focus is on the front of the head, specifically the eye which is affected on the typical flatter side and is more recessed. The specific position of the eyeball can not be moved further forward because the optic nerve...