I am an avionics tech so this is frustrating, my windshield washer pump is shorted and my keyless entry works intermittent. I need a wiring diagram to see if I have two different problems or if they are related, but cannot find one. Please help!!!

 

From years 2007 and on, the Body Control Module (BCM) controls both, as well as all other locks/lights/ect.
My BCM went bad last winter. Due to required programming, Chevy stealship must replace it. They gouged me for 4 hours labor - even after I told them upon scheduling the appt and dropping it off that the BCM was bad and I needed the BCM replaced and programmed - forgive the rant - it makes me feel better - still a sore subject for me:>)
The Haynes Manual (PN 38040) has very nice wiring diagrams that I used to look this up - the book has been worth the $ (if you plan to keep the Nox).

 

Is that part a bus where I can open it up and fix it myself?

 

With these being your only two issues, I would start with the washer pump and T/S it - there are relays fuses than can be swapped, power/grounds to be checked. The BCM is a ckt card that controls everything attached to the body - locks, windows, ignition lock, tailgate, wipers, etc.
I doubt that the BCM would be bad if you only have these two issues.
** Another thing that causes weird issues is the battery - if your battery is the original, I would replace it - go to Wal-mart and get the exact amperage replacement (if I recall it is an H5 - but you need to verify this)