I’d really recommend you spend $10 on a multimeter. Otherwise there’s no way to check anything. At least not safely… There’s always the lick test. (Don’t lick the battery)
I got mine for like $18 from Walmart and have had it for years. It’s probably shit but it’s done everything I’ve ever needed it to do reliably. They sell ~$10 ones too.
For quick voltage check you could just connect the unity and check the voltage reading via app.
As you mentioned the pack has a smart bms installed,
the bt module needs energy (is switched on) as long as the balance wires are connected to the bms (and the power wires to the bt module for sure).
Likely that the standby mode of the bms fucked up your battery.