Does the iphone 6s sim card fit the iphone 13

It should, but be aware that a 4G SIM card is will not work on a 5G network with Verizon from what their support told me. You have to get a newer SIM card to be able to utilize 5G service. I have a 11 Pro and am being gifted a 13 Pro Max (unlocked bought direct from Apple) and they told me I needed to get a new SIM card for the 5G network access.

Yes.

(210078)

tdperry is correct, however, you can ask your carrier to activate an eSIM, which does not require a physical SIM card.