Yes, it does help to know your height, weight, PR, and grip height.
From your description, it sounds like this new pole is a much bigger pole than the others you have jumped on. From the sound of it, I'm going to assume that the other 160/170 poles you say you can jump with while holding at 13' - are probably not 14' poles. It's possible the 160 might be a 14' pole.
It's unfortunate that your coach did not ask for advice on this site for pole selection. I doubt that this new pole will be useful to you this year unless you get yourself into a club with a coach who can teach you how to properly vault. I say that because holding at 12'-12'6" and a PR of 10' indicates to me that you are not vaulting correctly.
An important point for you and your coach to know - moving the grip 3" changes the stiffness of the pole by about 5 lbs. Dropping grip increases the stiffness feel, raising grip makes it feel softer. A 6" change in grip changes it by 10 lbs. (But you also need the speed and technique to raise your grip and still get safely into the pit, even though the pole will feel softer/bend easier.) So if you have a 13' pole, rated at 160 lbs, and hold it at 13', it would feel the same as holding at 13' on a 13'6" 150 pole. This is where the HS rules on pole weight ratings is hurting the event, and in it's own way making it less safe for HS vaulters. Very few schools have enough poles to match the right pole for the vaulter by requiring them to use poles at their weight or higher.
Please print this out for your own use and give a copy to your coach. http://www.ust-essx.com/pole-resistance-chart
(I first saw this chart on Jan Johnson's website, but the formatting of his chart is all messed up, however, there is still good stuff on his website so check it out.) http://vstraining.com/sky/
By holding a 14-170 pole at 13', it is very similar to jumping with a 13-190 (also holding at 13'), or using a 13'6"-180 (holding at 13').