Is there anything in your service medical file that shows any problem w/neck? Arthritic and degenerative changes occur due to age as well as to injury. The key to win is to get an opinion about it from an MD, preferably a spine specialist, that ties your current condition to a problem in your service history. 1961 to 2008 is a long time considering only slight diffuse degeneration existed then.
No idea but what's your PTSD Rating SC %?
Strictly my take now, what kind of problems could a Vet DX'd with PTSD have dealing with occasionally cantankerous ner do wells, law breakers, and felons? From a litigation perspective, I just can't see a City, County or State that could or want to afford the exposure.
Have you identified your VA PTSD DX on your employment applications? Definitely, something you want to be upfront about.