Does a lip lift, help vertical lip lines (smokers lines)?

Thank you for your question. A lip lift does not affect vertical lip lines unless they are within the area of skin excised during the procedure. I like to address the lip lines with a series of microneedling plus Volbella  or Belotero injected directly into the lines. The key is building the collagen back up in the area, so products such as TNS Essential Serum work in conjuction with microneedling. Another option would be to have CO2 laser resurfacing which is quicker but has more downtime right after treatment as opposed to the other option which has virtually no downtime. 
For your question about filler in the nasolabial folds, I tend to want all filler gone before doing a lip lift. I used to think otherwise, but I have had one instance where the nasolabial fold was injected at the base of the nose on one side that I did not know about. Once the filler went away, the lip lift looked a little asymmetric which I could have accounted for during the procedure had the filler not been there. 
Best of luck to you,
Sarah Saxon, MD