Why can't my iPhone be used with the iTunes version I have?

Since my brand new iPone 6 updated to iOS 9.0.2 on the initial set up, now when I plug my phone in to sync it, I get the following message: The iPhone “Ann's iPhone” cannot be used because it requires a newer version of iTunes. Go to www.itunes.com to download the latest version of iTunes.

I checked my iTunes for updates and got this message: This version of iTunes (11.4) is the current version.

I checked my MacBook Pro, which is on Mac OS X Version 10.6.8, for updates and got this message: Software Update doesn’t have any new software for your computer at this time.

What gives?? Is iOS 9.0.2 making my 4 year old MacBook Pro obsolete for working with my new phone? Is this Apple's way of saying I need to spend more $ to upgrade?? Any help to resolve this would be appreciated. Thank you!