If you have liquid gas in the tank, then I would drain it out and put in fresh gas. If the gas has evaporated and left dry residue behind, then I'd blow out all you can with a long blow gun and air compressor. Then flush out the rest by using some fresh gas and draining it through cloth into a pail. Keep repeating until it runs clean. Rock the car side to side to slosh the gas and help drain out the junk. Then install the tank filter to prevent junk from messing up the shut off valve and carb.
When you drain the oil, bend a wire to 90* and spin it around on the bottom of the oil pan to see if you pick up any sludge. If you get sludge, then drop the pan and clean it out. If you don't get sludge, then I wouldn't drop the oil pan.
New 6 volt battery with positive ground, then jump across the cutout terminal with a wire for one second to polarize the generator, in case it lost it's residual magnetism over the years.
Don't replace a thing on the ignition, just lightly sand or file the points to clean off a little oxidation. Fresh oil and gas, and you should be able to start the engine. Tire age doesn't bother me if they aren't showing cracks, but even if they look good, drive it around the neighborhood for several miles before heading out somewhere far.
If you start out by changing a bunch of parts, then you'll be back here asking why it doesn't start. It ran good when parked, so it should run good now, but removing the plugs and spinning the engine over with some oil down each plug hole is a good idea. Hand crank it first to make sure nothing is stuck, then spin it with the starter to spread the oil. Then reinstall the plugs and start the engine.
Hopefully it wasn't stored with water. ALWAYS use antifreeze.
