Everything he is claiming can be verified or discredited through public records.

If you want to know when he was at college, call them and ask to verify a graduation. Employers do this all the time to check your resume.

For military, put in an FOIA request for them:

https://www.archives.gov/personnel-records-center/military-personnel

I’ve talked with people who check military fakers (Stolen Valor stuff), and this is the first step they take for that, so you should be able to see the years Wood served.

You can research the answers, or you can be confused and just trust what he says.