Super nice 911..congratulations.
One thing about low milage 911s..they sat a lot. Condensation in the steel fuel tank is very normal, so when they sit in the garage for extended period of time some rust will develop.
Your intermittent running issue could be a clogged filter screen in the bottom of the fuel tank. Parts are about $50 from our host. Part number 911-201-141-00-M100
The filter is not an maintenance item..it should be replaced every couple of decades.
Replace the "O" ring at the bottom too. Part number 911-201-143-00-M100
I would go ahead and do a full service on the car for peace of mind. All new filters, engine oil, valve adjustment, cap and rotor, gearbox oil, change brake fluid and spark plugs. Change the brake fluid too and check the pads and rotors.
Enjoy your car for many years.