Hello anna & welcome to the forum!

I vote for the "crazy to plan like this" option unless you're an Olympic-class sprinter. I'd pick out five of the attractions you want to see & set a schedule. Even then, you won't have much time at any of the venues.

Personally, I'd cross Tokyo Tower & the Rainbow Bridge off the list. You can knock off the Tokyo Metro Building (or replace it with something similar) on Wednesday evening.

It will help us with planning/scheduling if you could prioritize your choice of venues.
IMHO, you'll get much more from the experience if you limit your venues & spend some extra time at each. YMMV