This is going to be a much bigger problem for Amazon than it is for you personally, so it'll be interesting to see what AWS logs even look like come May 25th. If you don't have consent and a compelling business reason to store this PII then they definitely don't.

To give you one idea of how things will change in a post-GDPR world, I can tell you a story about how things are going in my industry: Most PII is going to be removed from domain WHOIS information.