Hey man, saw your first video and it looks like your having the same problem. The timing is still off, and it makes it really difficult to listen to. Do you maybe have a friend or someone who can help you line it all up? I know, it's tough some times. It sounds like you've got all the right pieces, you've just gotta make 'em fit.
Firstly, the drum beat isn't right, the hi-hat should be working quavers not crotchets.. and when you're doing fills, dont do the same thing with both hands, try get some syncopation in there.
Not being rude but the singing was out of tune, i would recommend you use ear-bud style headphones next time and leave one of them out, so you can hear the song AND what you sound like together.
When it got to the "coming out of my cage" part, at 1:33, the vocals came in on the wrong beat.. that set the rest out of time. Your singing also sounded monotonal.. if you have a piano I would work out the vocal notes/google the sheet music and try to go through the piece note by note on the piano, singing that note at the same time. Just do it slowly and try to make sure you hit the right notes, then when you come to record it you should remember exactly how it should sound
Not trying to be rude or anything, just wanted to give you some feedback so you can improve for next time. By the way, that uke looks beautiful! The abalone inlay almost looks like a chuck moore job! haha
Also the reason why you're going out of sync is because at one point you are dropping a beat in one of the instruments you are playing/singing. The trick is to always know where the "1" is. When I lay my rhythm tracks, I have a metronome/click track going with a different sound clicking on the first beat of every measure so I know where "1" is. If you don't have a metronome or click track available, just play along with the CD.
For the part they pointed out your two handed hits. The pattern you were playing was similar to the part the Killers drummer did. But he doesn't play it with two hands. He's working the hihat at the same time. So just move one of your hands over to the hihat, ok? in a fill though, you should alternate hands.
I'd much rather see a good cover of a simple song, than a bad cover of a hard song. Good luck!
If I were you I would do something like "somewhere over the rainbow" next time, just ukulele and vocals. That way you've got less parts to synchronize and you can work on getting them both perfect. It's a simple but lovely song, and although it's been done a million times, it will show your improvement and you can concentrate on hitting every note perfectly as it's nice and slow
I'd much rather see a good cover of a simple song, than a bad cover of a hard song. Good luck!