I would worry about a rusty tank. The shop I worked in had a 64 Thunderbird towed in about two years ago by someone willing to spend some money to get it running again. He had us replace the carburetor, replace the plugs, points, and plug wires, service the transmission, overhaul the brakes (caliper and wheel cylinder overhaul required), coolant flush, water pump, and much more that I don't remember now. It ran great. It was road tested before releasing it to the customer.
He left the shop and went straight to a gas station and filled the tank only to discover he had a fuel tank leak. He returned to us immediately. The tank had rusted through right above the line of where the fuel level was all the time it was in storage. The tank had to be replaced.
The old rule really still stands. Store any vehicle that holds gasoline with a full tank.