A lii202 is a well regarded safe, simple charger. Idk if there’s fakes you need to worry about but most importantly, as others have said, GET A DMM!! You’re probably fine but right now you have no way of knowing. Voltage display functions in a flashlight are for basic monitoring during use, not for measuring voltages of a cell with possible safety issues.
Even the worst quality dollar store junk DMM you can buy will be more repeatable and accurate then voltage check in a flashlight…