My text messages did not transfer. Is there a way to get them yet? They are still on the old phone.
I would get a program like PhoneView and just archive both device's SMS/Voicemail/call records. Unless the new phone is really new and you don't mind losing the new texts to restore a backup of all the texts from the old, there's not a way to inject or combine both stores of text messages.
You have to first back up the old iphone 4, then restore the new iphone 5 to this backup, which contains your messages.To prevent from losing any data that only exist on your new iphone 5 but not on the old one, you should save these data before you do the backup and restore, because this will revert all settings and datas.