I've been told this isn't a full facelift. What is the difference?

The sole purpose of the facelift is to affect the jowls (lower 1/3 of the face). The full face-lift is a misnomer and is generally a way of grouping different procedures of the face together and referring to this as a full face-lift.

You may feel that the nasolabial area and region under the eyes (eyelids, tear trough) have dropped. This is not affected with a face-lift and would require a lower blepharoplasty and/ or a cheek lift. This improves the mid-face region. Your brow-line may have dropped and this could benefit from a brow-lift. Your upper eye-lids may have a greater degree of hooding and this would benefit from an upper blepharoplasty.