does this light have an LED bulb
Yes it does
Is this supposed to zap bug it’s a POS...
It does not have the loud sound you may hear with an electric zapper but this lantern definitely kills bugs.
How long will it work after fully charging?
Expect up to 5 hours with high brightness plus UV, 8-10 hours UV mode only although this varies with the number of bug zaps.
There is no zap in my bug zapper?
Hi. Do you mean no audible zap? That's not uncommon, especially for smaller bugs.