I’m my experience around 4 hours listening to audiobooks
#3 Do these work in the cold? I have a good brand named pair of headphones now that shut off in the cold. I like to run for at least an hour long in the outdoors. I’m from Canada, so sometimes I’m running in -20 degrees Celsius weather, or colder.
Cold weather will impact battery life as lithium batteries are used in TWS..however Bluetooth and the physical bud itself it completely unaffected. At -20 Celsius, I am not sure there is much data at that extreme temp. Here is a good page for info. https://www.litheadphones.com/is-cold-weather-bad-for-wireless-headphones
If your TV has a bluetooth output, then yes, they should work fine. You will need to turn your TV bluetooth on and put the earbuds in pairing mode for the TV to see the earbuds, but they should work fine.