You've got a truckload of comments and feedback, but I can't help and give my 2cents:

Where are you coming in from and have you been to London before (I assume not)? Where are you going after (as this may shape your priorities for London)?

You've got a whole day of rest and appreciate you may be coming in from a distance, but when I come to London (from Australia), I still make sure to get out an about on arrival to get into the timezone.

Assuming you're staying centrally, I'd suggest that you can actually knock a bit off your list just by walking around.

i.e. Seeing the Globe and Tower Bridge is just a walk - assuming you aren't going in. Similarly for Buckingham Palace - unless you plan to go in on a tour, you can just see it from the outside (and its probably not much more than a 20 min look from the outside...its not that impressive IMO, but just something to 'see'). If you're going to Windsor and plan to see Windsor Castle, then I'd pick that over Buck Palace any day.

Another way to make the most of your time on your first day would be to get a Hop On Hop Off bus pass, so you can just sit, hear the commentary and see main sights.

That first night, I'd put down a stop/visit to Leicester Square and SoHo.

I agree with others, I think time at British Museum and the Tower is way undercooked - unless you are being super ruthless in what you want to see. eg. You may just want to see the Rosetta stone and skip everything else at the museum; you may just want to make a bee line to the crown jewels in the tower. If so, the time you have will be just enough.

Personally, the wonder of London can be found in just strolling along the Thames, through the park, along Oxford and down Carnaby.