Usually discs are herniated at one level but can be multiple. You can tell which level is herniated depending on the finger that is affected. For example, if it’s down the outside of the arm and into the ring finger it’s probably your C6-C7. Usually you won’t need surgery if you haven’t lost strength, coordination, and there’s not alot of numbness and tingling pain. One way to check is to lay your head on a stiff pillow or rolled up towel and gently traction your neck, ie pull it. If the symptoms subside then it might be herniated.
When you see a doctor they’ll first do an xray and might follow up with an MRI. It’s not expensive if you’re on the national health system.
There are alot of treatment options before surgery, heat, ice, traction, massage, anti inflammatiory like ibuprofen, etc. Maybe see a chiropractor. I’ll bet you won’t need surgery.
If you’re feeling tingling in both hands in all fingers and feeling light headed it could be something completely different. Maybe a blood test for sugar levels.
BJJ is pretty tough on your c-spine with all the rolling and pulling. Might need to take a break.
Good luck and get well!