You aren't getting very useful replies here. Old Volkl Carvers are not your best choice for Breckenridge in the spring, to some extent depending on when in the spring, what conditions are like then, and what type of terrain you plan/hope to ski. Most modern premium ski rentals (called 'demos') will be better than those; leave your poles at home as well. Boots are a different issue. Those Tecnica TC1 boots are from 1991 and they also suck by modern standards. But fit and function trumps everything, and if those still fit well and the toes and heels aren't too worn down, they could work OK. So, you should bring your boots and maybe use them, but rent new skis and poles.
Have a great trip!