The process of electing a president changed after the elections of 1800 by the election of 1800 showing weaknesses of Article II, Section 1 of the Constitution, this instructed how the president was to be elected.
Developed countries have better medical facilities because they have more money and are able to afford equipment which is often very expensive. Due to having more money, their medical facilities can be equipped more expensively. While this doesn't always mean it is a better facility, it often is the case.
So in a nutshell, because developed countries have more money, they are also able to provide better healthcare and better medical care in their medical facilities.
This is true. The homestead act gave people huge properties for a small price if they were willing to work on the field for 5 years. After 5 years it would become their and they could do with it as they wished.