Would a chin implant be advised for my small chin/big lips? (Photo)

Ideally, due to the poor development of your lower jaw (the mandible), orthodontics and lower jaw (orthognathic) surgery is optimal.  However, if performed properly, compromise (less complex) procedures can be an alternative.  A small implant could be helpful, but if it is too large, it will not look natural.  Another approach is to both project and lengthen the chin with a genioplasty (cutting the bone).  The latter is what I would likely recommend if you are not interested in orthodontics and orthognathic surgery.  Please obtain a consultation with a patient well versed in all of these procedures. 

Samblard, Your photos are actually pretty good! A chin implant would be advisable
assuming you have little to no problem with the alignment of your mandible
(jaw) and maxilla (upper jaw). Should that be the case then braces may be
helpful first. Your dentist should be able to help you out with that issue.
Other than that a chin implant should work well. As far as your lips go I have
patients that pay me to make their lips look as full as yours. Don't be in a
hurry to change that; as you get older they will naturally loose some of their
plumpness.  As usual, see a facial
plastic specialist and make sure you like their photos. Good luck!