@paok1970,
Yeah, there is.
"getting you down" is something that's basically internal--by disappointing you, by acting irrationally, etc.
"putting you down" occurs when someone tries to insult, demand, or disparage you.
2. Normally you would just say "others." But if you're talking about a specific, small group, such as 4-5 kids on a playground, you might say "the others."