Idle axle seal leaking will a new seal stop the leak or is there a possibility of something internal leaking through the automatic transmission then out the axle seal?

Try using an oil seal conditioner first. It is a polymer that makes the seals soft again.

https://www.google.com/search?q=oil+seal+conditioner

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If you bought a new axle and seal, it shouldn't leak. Unless they nicked the seal putting the axle. When using a used axle, it needs the rust sanded off before installing. That rust will eat up a seal.

Well, the car is 20 years running on the road, one can expect gaskets and seals to start leaking. If you stop the leak and keep it full, you may be alright. But running low fluid for very long will definitely damage the transmission, so do get it fixed, and keep it full but not overfull till fixed. There aren't that many places for an automatic to leak. There are axle seals where the two front axles go into the transaxle. Fairly easy to replace. There is a gasket where the bottom fluid pan bolts to transaxle. Also fairly easy to replace. There are two fluid cooling lines from transaxle to radiator or to a small radiator-like cooler in front of radiator. Leaks can develop in the lines, at the fittings where they connect to transaxle or to the radiator. Leaks anywhere there should be fairly easy to fix. There is another seal, a front transaxle seal, and if bad, fluid will be dripping off the bottom front of the tranny where it mates to the engine. If this seal is bad, the transmission will have to be removed from vehicle to replace it. A $5 seal, but the fix requires pulling the transaxle-ouch! That is about all the places where leaks can develop-except there may be some bolted on or screwed in fittings (like the reverse light switch, for one). These fittings would have seals, O-ring seals, or gaskets that may start leaking.
If it gets low on fluid that fast, it would seem that you should be able to spot where it is leaking. Use rags and wipe off all the old fluid and dirt from the transaxle. After a drive and then parked, you may be able to see where the leak has allowed new fluid to escape. Good luck.

Nope, no positives. It does sound like the pump has failed. If the stop leak didn't help seal any internal seals that may have failed, it looks like the transaxle will have to come out for repairs or another replacement.
I don't think the torque converter ever makes noise when bad.
I would think your diagnosis of a bad pump is correct, given no movement of fluid in the cooler lines. Kudos for checking the lines-cool idea, I never thought of that.

I'm guessing you mean transmission fluid poured out? That would certainly explain why it won't move. The most common leak point for older automatic transmission cars are the transmission cooler lines. They run from the radiator to the transmission (the cooler is built into the radiator) and they are made of steel so they are prone to rust. I would start looking there. The other leak points would be the lower pan, axle seals, and where the case bolts together. Take a look at the radiator and you should see some small steel lines bolted to the radiator. Follow them and look for heavy rust that is wet with fluid.

One of your axle shaft seals or the speed sensor o-ring is leaking. Those are the only three things back there that can be leaking. Have them all checked out and replaced as needed.

Could be a number of items,...
cracked housing on the transmission,
leaking cooler lines or cooler (if equiped)
Leaking pan gasket or seals
leaking out of axle seals

TRANSMISSION LEAKS COME FROM TRANSMISSION OIL PAN GASKET LEAKING.OIL COOLERS LINES LEAKING.LEAKING AT TORQUE CONVERTER FRONT SEAL.TRANSMISSION SPEED SENSOR SEAL LEAKING.FRONT AXLE SEALS LEAKING AND LEAKING AT TRANSMISSION COOLING LINES TO RADIATOR.CHECK ALL YOU WILL FIND LEAK.IF YOU HAVE FAST LEAK OR PRESSURE LEAK.WITH CAR RUNNING IN PARK EMERGENCY BRAKE APPLIED LOOK UNDER CAR IF YOU SEE FLUID LEAKING OUT IN LARGE QUANITIES.COOLER LINES LEAKING OR TORQUE CONVERTER FRONT SEAL LEAKING.IF YOU HAVE SLOW LEAK THE LEAKS HAS TO BE AXLES SEALS OR PAN GASKET LEAKING OR VSS SENSOR SEAL LEAKING.

List of possible locations for engine oil leaks:

Valve cover gasket
can,crank and oil pump seals.
rear main seal
oil pan gasket
Transmission oil leaks
Vents, dipstick,torque converter ( need to examine shell to pin point whether its the oil pump or a converter seal)transmission gasket,axle seals, drain plug.

The oil on the spark plug usually comes from the valve cover seal or the spark plug tube. The valve cover seals to the tube and the tube seals to the head. The tube is usually a tight fit in to the head with a little sealant. The tubes can be purchased at the chrysler dealer or possibly at a local parts store. As for the red fluid,it is automatic transmission fliud . It is used in the manual transmission as well as the power steering system. You could have an axle seal leak, transmission shifter seal leak, power steering seal leak, depending on which side of the vehicle is wet.