I have two cards, one is for texting on iPhone5 and the other is a new card.

Cards that can't send text messages may be damaged during card cutting. You might as well ask the operator to replace the special card.

Another possibility is that there is something wrong with the number of the SMS center. You can call the operator's customer service and ask them to teach you how to change it.

Setting method: enter "* 5005 * 7672 *+86 13800 100500 #" in the dialing interface of mobile phone, and replace this13800100500 with your SMS center number. You can ask the operator.