Would a neck lift get rid of the creases on my neck?

Though it would seem that treatments to the neck would alleviate the neck lines, skin redundancy, and skin folds that your photos demonstrate, I think that modest improvement is the best that you can expect.  Conservative liposuction in the area would remove some of the excess fat and will help smooth out the larger skin folds but the improvement would not get rid of the deeper creases. A thorogh examination if the neck would also help in determining the improvements you can expect.

A neck lift may improve the dynamic creasing on the neck, but you may be too young to undergo such a procedure.  A subset of patients may benefit from conservative botox by an experienced plastic surgeon. An examination is required.Best, Dr. Karamanoukian

Those creases are genetically conditioned, and commonly associated to policystic ovaries syndrome (including facial acne, which I see in the photos, and irregular menstruation, am I wrong?); though many treatments have been proposed, honestly no one works, don't believe in snake charmers.Life goes on.

The wrinkles on your neck are the horizontal kind that are from folding of the skin.  A neck lift won't necessarily get rid of them.  I have filled these and have had great success with that.  Its in the office for 20 minutes and done.  It may require some maintenance filler injections several times a year.  Hope this helps 

In my over the internet opinion - No. I might offer fillers/fat grafts/Botox options. Also please do not become alarmed by another experts mention of genetic syndromes. Very doubtful you have that... 

Unfortunately a necklift is not completely effective for treating horizontal neck lines.  If there is a significant of skin an muscle laxity, it can help improve the appearance of the horizontal.  In cases such as yours where there is not an excessive amount of laxity, it would not effectively address your concerns.  Weight loss and skin care would be somewhat helpful.  Best wishes.