This is an old pressure tank system. You should have an air compressor there to put pressure on the tank....providing it does not leak.
The best thing to do is to replace the tank with a new plastic one and put in a water pump. If the lines are still good, I'd leave the copper and only replace what is necessary to get then tank installed.
It will take some re-piping to get it set up like a current demand water system.
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