Let me say it a little better.
Its not that the singer has a terrible voice, he just doesnt keep his shit together, hes all over the place and doesnt know the words. He needs to focus and work on a real performance and stop the theatrics, hes obviously not to the level of a pro band yet so he needs to quit with the artsy crap and work on being a solid lead singer.
You as a drummer are falling behind in beat and then playing catch up to the rest of the band, this isnt how it works, they need to take timing from you. If they get off beat, they need to look to you to get back on, not the other way around. If it isnt done like this you end up with everyone trying to look to someone else to get correct beat, this ends up with the mess i just saw.
Other than that, you dont play the exact parts for your instrument, Im not sure if this is on purpose to make it a little easier or if you just dont have the song fleshed out, or if you were just doing your own thing, again not trying to be harsh, just giving an honest opinion.