[PeteKz]

Since you mentioned the red alternator light, let me ask: is it an original style bulb,
Or did you replace it with an LED? That light provides excitation current to the alternator to get it generating when you first start the car. It must be a regular incandescent bulb.

What you have described sounds like the alternator is not working. However, it also sounds like you have a bad battery. The car should run on the battery alone for a couple hours, even if the alternator is not working. The testers that auto parts stores use do not identify all bad batteries. A good battery should be able to crank the engine for at least 30 seconds (crank it 10 seconds at a time and let the starter cool down for a few minutes in between). It sounds like your battery cannot do that, or even crank it at all. To crank the engine for 10 seconds without starting it, disconnect the primary wires to the coil, or unplug the CDI box.

First check all the battery cable connections at rhe battery and starter and ground straps from the battery to the body, and from the body to the transmission. Actually disconnect and clean them then put back together. See if that works.

Second, borrow a battery from another car and put it in this car. See if that works.

Report back what you find. If the battery is fully charged and known good, and it passes the cranking time test, then we will troubleshoot the alternator and its connections. You may have miswired something.