How can I change the shortcut keys for my MacBook Pro so it doesn't conflict with my remote Windows shortcuts? From my MacBook Pro, I use a Java program that allows me to remotely connect to my Windows computer.  I use Outlook on this Windows computer where normally I use shortcut keys like ControlF2 or ControlF4 to categories emails in Outlook. 

So for ControlF2 it actually works fine but I need to press fnControlF2. The issue is when I press fnControlF4 it seems that it's an Apple shortcut to rotate through apps, so it trumps what I am actually trying to do on the Windows machine.

Is there any workaorund to this issue? Is there a way I can turn off some of the Apple shortcuts or anything else to deal with this?

Update

I created a bounty to answer the question that I listed as a comment on the first answer:

What is weird is that F2 and F4 are both checked so I don't understand why F2 works but F4 doesn't in my Outlook. Also, after unchecking F4 and trying to categorize in Outlook the shortcut still doesn't work. After turning off all of the Apple shortcuts, it seems that F2, F6, and F8 work but others don't. Any explanation?
You can disable some of the F-key shortcuts in System Preferences: