They are still up and running. Even the leaderboards are still working. My psn nick is talhaONE. You can add me and we can play together.
Bro, do you still play NFS Carbon on PS3? and do you know someone who managed to get all the rewards cards online on the PS3?
My PSN: Xxzenilson_BRxX
Unfortunately, I don't play Carbon on PS3 as much as I used to - though I did enjoy Most Wanted '05 on the PS2 last week.
To answer your question, I believe the official EA servers for several Need for Speed games developed by Black Box and Criterion were shutdown and have been since August 2021. I do not know if there are any fan servers or anything like that, but Carbon online effectively no longer exists for the vanilla PS3 game.
As for reward cards, some of them are exceptionally difficult - particularly the one which requires you to race (and beat) an EA moderator. If there was anyone who could have done a clean sweep, it would be the amazing @George26e - he is an expert on NFSC and a superb racer with great knowledge of in-game tuning too. It's a shame that it's gone and that NFS is heading in the direction it is currently; I would have really enjoyed racing him (and others) seeing as my racecraft as far, far better than what it was back then!
All the best. Sorry to disappoint at all.
