Re: Elector allocations
The two state-wide vote on who won the state. The rest vote based on who won their district.
That would be the way things would be if the "tyranny of the majority" issue (the thing about populous states bullying smaller states) was a genuine concern. Indeed, all it really does is create a "tyranny of the minority" in its place. It's self-evidently a non-solution. The founding fathers weren't obvious idiots, so we have to look elsewhere for the explanation.
A better guess is that it is a gambit to make sure that a hand-selected group of "cooler heads" (or perhaps "wealthier heads" would be more accurate) would ultimately be in control of large elections.