Lost everything - profile, progress and purchases

DO NOT UPDATE the PVZ2 APP on your old phone.

The working PVZ2 on your old phone (with your profiles) could be your last chance to get back your old progress so please do the two following actions first before trying out any recovery attempts.  

1. Screenshot your player ID (the working one on your old phone)
2. Backup your old phone data (I used iTune with my PC & MacBook so if thing goes south, I could bring the phone back to its old working condition)

Once you have the above backup in place, there are a few things I think you could try.

(a.) On iOS, there is a feature to clone (transfer) your Apps & data from the old device to the new device using bluetooth by placing the device close to each other, you could try this out and see if the PVZ2 App and its game-save data being transfered to the new device.

(b.) Register your email address with the PVZ2 App on the old device (if this has not been done so before there is a small amount of gems given as a reward).  Check and ensure it is registered.

(c.) On your new device, disable GameCenter, delete and re-install PVZ2 App manually, once the tutorial is complete and the App is restarted, do the email register using the same email address as you have on the old phone, hopefully, you will be given an iDentity conflict screen with an option to recover your old account (with the correct gamesaved progress)

Good luck.