I had herniated discs in my neck and went through cervical fusion surgery in october. I also have had a discectomy on my lower back within the last 2 yrs.
I lift 3 times a week..(and the only thing i try and avoid is overhead pressing - mostly cause i 'feel' wrong when i have tried)...just got my deadlift over 300 again...front squat at 185..and can finally do 10 pullups again - none of these are that impressive but i am happy with them
I run once or twice weekly (recently did my first 'adventure' trail race..6k in the woods..finished in 28mins...my best mile currently is 7:05...and try and run 440s weekly at the track..again..not that impressive but I am happy with them)
Recently bought a bike and have been going on longer and longer rides (will do 60 mile ride this weeknd - up to Niagara Falls and back)
Recently borrowed a few kayaks and have been getting out a few times a week on those as well. (fun stuff btw)
My point with all that - I am not a doctor nor do I think everyones case is the same...but just wanted to tell you not to be too depressed.
(fyi - my neurosurgeon suggested I steer AWAY from jogging/running as the impactful nature of it wasnt great for me...almost opposite of what your guy said)