No, however, every time a reserve is packed it marked with the number of packs and whether it was a repack (marked with a / mark) or a deployment (or more commonly a "ride", marked with an X). A reserve parachute normally has a lifespan of 20 years or 40 repacks, after which it can be sent back to the manufacturer in some cases to be given a more detailed inspection to see if it's still airworthy which it likely is. In some countries (mostly in Europe) riggers won't pack a reserve older than twenty years, but some people in the USA will buy them cheap there and get them inspected and keep using them if airworthy.

Reserves are generally inspected and repacked every 180 days although there really isn't actually a need to do it more than once a year according to people who are far more expert than I am, however, rules usually require that 180 day repack.

Anytime you go to a new DZ you can expect to have to show the packing card and the rigger's seal on the reserve to be able to jump. At events or big DZs they'll often put one of those plastic wristbands you get at concerts and resorts in the harness main lift web so the rampers can quickly verify them as you get on the plane. The most commonly used DZ management software also can record repacks and won't let someone manifest (get on the plane) unless they're current.

Most DZs have a rigger on site who can perform the service. They normally work in what's called the Loft, which I'm told comes from the fact that they usually worked in the loft section of hangars.

No but you have to get it repacked by a FAA certified rigger who seals it with their stamp.