I'm underwhelmed by my top lip, corners of my mouth/lips don’t seem plumped enough, and my smile is more lopsided. (Photos)

It sounds like and looks like you have a long upper lip with downturned commissures. Fillers can make this scenario worse and they will have a tendency to not last because the upper lip will roll in with the weight of the filler. A lip lift will help shorten the upper lip distance and shape the central lip while a diamond excision on the corners will balance and lift the outer lip. Both can be done in the office under local anesthesia with limited downtime and long lasting effects.

It will take up to 2 weeks for final results. If you remain concerned, I recommend following up with your injector. If you're unhappy with the final results, the filler can be reversed. Hope this helps.

As suggested below, you should allow about 7-10 days for the Botox to kick in. It does look like there can be more volume augmentation to your upper lip, especially to the outer corners. Also consider discussing different types of filler which are best served for the lip region.