The key is in your last sentence. You DO have instability, case closed. That said, my experience, and this is reflected in the literature, the combination of increased AP translation, positive Lachman's Test (no endpoint), and, most important, a positive pivot shift, in a young, active individual, is a generally accepted indication for ACL surgery.
As an aside, please be sure that your surgeon is experienced not only in ACL surgery, but in REVISION ACL surgery. One of the keys to a successful outcome is an experienced surgeon. Don't be embarrassed to ask how many they've done, and how many they do in a year.
A related discussion, Post ACL revision surgery was started.