[Dbbc]

Thank you all for all the suggestions. Just to recap.
The battery seems to be fine.
The wiring seems to be correct.
The coil sends a spark to the distributor (will double check for the strength of the spark and color). However when the ignition is on and the point are close the negative side of the coil is hot. (should be the positive side) Not sure why.
The rotor turn and the gap to the contact is 0.25. However it wobble. It should rest on the cam right, but it seems that it is not resting flat. The cam screw slot has some burs maybe it does not allow the rotor to seat flat.
The point gap have been sanded lightly and adjusted to 0.18.
The distributor contact have been sanded lightly and have been check for continuity and they all checked out. Found a crack on the body near the external contact that goes to cylinder #4.
The inside of the distributor is a little rough and hold the body (metal part exposed once I removed both upper and lower plate) is a little rusty. Can I just sand it?
The condenser copper end spins (where the screws attach to it through the bottom plate)

So I am ordering a bunch of parts to replace the coil, the distributor cap, body, both plate, the points and the condenser.

While I am waiting for the parts. I have one more questions. What would be the symptom if the distributor condenser is not working properly? And still trying to figure out the coil issue.