Does Naruto have a renningan

No, Nagato does. Naruto does not possess any eye techniques..

If you read Naruto manga chapter 499 it shows Naruto using Rikudo which is Rinnegan ability he uses this to trap the nine tailed fox.

naruto has sage mode which shows eyes changing. he also might have a sharingan ability given to him by itachi to protect against sasuke maybe a defence against ameratsu?