In some instances, direct VZW locations can flash the information on your old device over to your new device (if you get one), this may include old text messages (correct me if I'm wrong), but I know that text messages once received on the device are then of course "hard copied" to yoru device so would be flashed along witha ny other content you had stored on that phone, as long as the phone is in working order (besides the screen) it's still technically a functional device. There is a slight chance though it may not work, but it doesn't hurt to try.
Also, text messages do not instantly transfer with switching devices, it is only possible with the computer system set up in direct Verizon Communication Stores.
Regards