HP Pavilion x360
HP Pavilion x360
The problems you're experiencing might be connected. The fact that touching the bottom left causes shutdowns and that applying pressure to the left side near the touch pad triggers shutdowns suggests a possible hardware or software interaction. Additionally, the short battery life when not charging could indicate an underlying issue affecting power management.
Welcome to the forums, newcomer!
It might be possible that the laptop is experiencing an internal short due to pressure, as you've mentioned. It could also be that some connections are damaged, loose, or the battery is faulty. Looking back, the battery for the convertible laptop is positioned right under the trackpad area, which suggests it might be a loose ribbon cable or a short circuit.
You can take apart the laptop and verify that all connectors are firmly connected. If you're not within the warranty period and can't open the laptop yourself, bring it to a certified repair center and describe the problem there.