How to back-up specific apps and information from iTunes?

I had a 64g iphone 6 that had a hardware problem and could not turn on because it froze mid-way in the restoration process. As a result, I turned it in to upgrade to a 6s with a program my phone company has. Being in the financial difficulty IIm currently in all I could afford was the 16g iphone 6s. I know I can't back up everything but there are some apps like my password protector app and a bunch of important, sentimental notes from my old 64g phone that I need.
It has to be through iTunes because I only backed it up through iTunes. I stopped using iCloud because of that glitch in the upgrade where you had to pay for storage a while back.

I use itunes all the time for that (and I also have 16GB). When you setup your new phone by connecting to itunes, it will ask you if you want to copy from backup, choose yes and it will copy everything including apps, notes, etc.

Search it on YouTube, you will get the step by step information about it and if you want to have a good security app do install Leo Privacy Guard in order to secure you device totally.

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