The tiny photo is hard to see but your tweeters look like the shrieker in a cheap clock radio. A good tweeter has a dome, not a cone.
Two speakers beside each other produce cancellation of some frequencies when heard a little to the side instead of straight ahead, due to the change of phase caused by different distances to your ears.
Some amplifiers waste a lot of battery power making heat, even when not playing. Some modern amplifiers do not get hot because they do not waste battery power.
A transistor switch does not short anything. It is simply located in series between the battery and the LEDs and connects the battery to the LEDs when sounds turn it on.