OP’s battery was dead and couldn’t start the engine at the first time. He took the dead battery to AutoZone to be tested and it was at 10 V which was worse than the current condition. AutoZone charged the battery up to 100% and OP put it back into the car and started the car just fine for several days even right now other than the voltage has dropped to 10.56 V.Yes, it could be a charging problem. More diagnostics are in order.
AutoZone tested the voltage but they didn't load test it.
I don't have a load tester so I would fully charge it overnight, and then monitor the voltage just sitting for a day or two.
Can you get your questionable battery (which brand?) replaced under warranty for free? Some battery warranties are transferable and you don’t even need to provide a receipt.So I bought a new battery, with a 3 year warranty. Swapped it out. Everything is good…gonna take it back to Autozone in a couple of weeks and check the alternator. People talk about how rare it is. But I’ve actually had several batteries throughout the years that didn’t last through their warranty. A couple now less than a year. Not on this car, but others.