My 17 YO diabetic Ennis no longer gets vaccinations. He got regular rabies and the three-way FVRCP (Feline Viral Rhinotracheitis, Calicivirus, Panleukopenia--Distemper) up until maybe 12 YO.
My new cats are currently about 10 months (Nellie) and 18 months (Casey).
Casey got FVRCP and FeLV (on the same day) after I adopted him at about 5 months old. He had already had his rabies. One year later, he got a combo rabies/FVRCP vaccine.
Nellie got her rabies and FVRCP (on different days) after I adopted her at about 3 months old. She will get them again one year later.
When I adopted Casey, I also adopted Emma (GA). She was about 3 months old. She got rabies, FVRCP, and FeLV. Some of those were on the same day, but the FeLV was separate. A couple weeks after that FeLV vaccination, she came down with a fever of unknown origin. Despite all attempts to help her, she died about 4 months later. We don't know for sure what took her, but I think that getting vaccines on the same day and the FeLV vaccine were just too much for her immune system.
That's why Nellie got her shots on different days, about a week apart. That is also why Nellie, who like my others will be an indoor cat, did not and will not get the FeLV vaccine. Casey will not be re-vaccinated with FeLV.
My new cats will likely get the rabies and FVRCP regularly until they are about 4 YO. Then I will likely ask for titer testing, to test the level of antibodies present in their blood. If they have adequate protection, I will likely stop the vaccinations. I will likely redo the titer testing every 3 years or so.
I do believe that companion pets are over vaccinated. I believe protection for certain diseases is necessary, but that that protection does not require annual revaccinations after a point. Your post does not indicate whether Arnold has received any vaccinations since 2003. If not, he likely will need a FVRCP booster. Rabies is a matter of law, but you do also have a choice. If it were my cat and he hadn't had a rabies vaccination since 2003, I would do that this year, but probably not after that.
Hope this helps.