Will the new SIM card keep the original SMS?

It can be preserved, but there are not many places with this condition.

Find a business hall with a card reader (you can consult 10086 Mobile/100/0 Unicom, and ask if the local business hall has this equipment. If not, you can find a regular mobile phone repair place), read out the information in the SIM card you want to replace and save it in their computer, and then insert the new card into the card reader to copy the information.

In principle, after replacing the remote card with a new card, you will not keep any information stored on the remote card.

In addition, if your mobile phone supports copying address books or text messages, it will be much easier. Just send a copy directly and save it on your mobile phone.