Lower lid scars

To answer your question directly, a facelift will likely do very little for your lower lid scars (and I assume some of these scars go onto the cheeks).  Even fillers may be risky in the lower lid skin itself, but not on the cheek.  You may consider some form of peel or better yet the Fraxel laser Re:Pair.  First you must see a board certified plastic surgeon or facial plastic surgeon to assess these scars.  Only then can an assessment be made as to what technique may help.  Do not expect the scars to be "erased".  The goal is to get enough improvement that they are less noticeable or minimally so.