Unless the car has a worn motor,
with a proper tune up (points, wires, cap and rotor, wires, valves properly adjusted) starting and drivability, within reason should be fine.
The exterior of the car looks great. Was any restoration done on the engine?
You may want to get a base line by checking the engine compression, another thing to watch on these older cars is the timing ring on the front damper can slip, resulting in a retarded initial timing being set on the engine.
There are many knowledgeable folks on this forum, you may want to start by describing the starting / drivability issue.
