There are a couple of internet cafes in Cristamar shopping centre in Puerto Banus. This is not far from El Corte Inglais. If you make your way to Levante Beach and you see the big statue, turn left up the road opposite the beach (TGI’s is on the corner) and you will see Cristamar shopping centre in between all of the restaurants on your right hand side. Im not 100% sure on opening and closing times.
Most airlines let you use your phone for the boarding pass, down load the app and pop the e ticket with bar code in you apple wallet. (I think its just easy jet that doesn’t allow you but it will give you the option to when you log on to save, print or download it if you can)
you can use wifi in mcdonalds or starbucks to check online if your airline lets you do this 🙂
Printed tickets is actually the most used, they collect this before you board as this also serves as your passes and they keep this for period of time for reference. Try to check at the city proper, most of internet cafes are hidden so you cant just see them in broad areas.