You need iTunes 12.3.3 which is only available when you upgrade your Mac's OS X version to OS X 10.8.5 Mountain Lion or later.
To upgrade your iTunes version, you can download and install the free OS X 10.11 El Capitán from the Mac App Store OR pay for a $20 download code from Apple's main store on the Apple website for OS X 10.8 Mountain Lion that is needed to download OS X 10.8 Mountain Lion from the Mac App Store.
You can download and install 10.11 or 10.8 to an external hard drive that you can boot your Mac to so you can use the new OS X to install the newest iTunes to sync your new iPad to.
Your Mac, also, may need a RAM upgrade if it only has minimum RAM.
Correct and reliable Mac RAM can only be purchased from online Mac RAM sources Crucial memory (crucial.com) or OWC (macsales.com).
Here are the hardware specs for both OS X 10.8 and 10.11
To install OS X 10.8 Mountain Lion or the free OS X 10.10.11 El Capitán, you need one of these Macs:
OS X 10.8 Mountain Lion purchased emailed download code here.
http://store.apple.com/us/product/D6377Z/A/os-x-mountain-lion
Apple will send you an email for the special download code for the Mac App Store within three days of purchasing the download code.
iMac (Mid-2007 or later)
MacBook (13-inch Aluminum, Late 2008), (13-inch, Early 2009 or later)
MacBook Pro (13-inch, Mid-2009 or later),
MacBook Pro (15-inch or 17-inch, Mid/Late 2007 or later)
MacBook Air (Late 2008 or later)
Mac mini (Early 2009 or later)
Mac Pro (Early 2008 or later)
Xserve (Early 2009)
Your Mac also needs:
OS X Mountain Lion, Lion, or Snow Leopard v10.6.8 already installed
2 GB or more of memory (I strongly advise, at least, 8 GBs of RAM or more)
8 GB or more of available space
Next,
If you run any older Mac software from the earlier PowerPC Macs, then none of this software will work with the newer OS X versions (10.7 and onward). OS X Snow Leopard had a magical and invisible PowerPC emulation application, called Rosetta, that worked seamlessly in the background that still allowed older PowerPC coded software to still operate in a Intel CPU Mac.
The use of Rosetta ended with OS X Snow Leopard as the Rosetta application was licensed to Apple, from a software company called Transitive, which got bought out, I believe, by IBM and Appe could no longer secure their rights to continue to use Rosetta in later versions of OS X.
So, you would need to check to see if you have software on your Mac that maybe older than, say, 2006 or older.
Also, check for app compatibilty here.
http://roaringapps.com/
If you have any commercial antivirus installed and/or hard drive cleaning apps installed on your Mac, like MacKeeper, CleanMyMac, TuneUpMyMac, MacCleanse, etc. now would be a good time to completely uninstall these apps by doing a Google search to learn how to properly uninstall these types of apps.
These types of apps will only cause your Mac issues later after the install of the new OS X version and you will have to completely uninstall these types of apps later.
Once you have determined all of this, you should be able to find the latest versions of OS X by clicking on the Mac App Store icon in the OS X Dock and then login to the Mac App Store using your Apple ID and password and if you purchased a download code, input that code.
You can then begin the download and installation process of installing the newer versions of OS X from the Mac App Store.
Good Luck!
