It's the difference between feeling and emotion exactly. 느낌 is feeling, and 감정 is emotion. When you want to say, I have a bad feeling. Then it would be 느낌이 안 좋다. 느낌 can be used in many situation, bit 감정 can only be used when you're using a sentence with emotion.

This is none of your business in korean. There are more than 1 way of saying this. 상관하지 마세요.(normal but bit offensive) 참견하지 마세요. (similar to the first one) 당신이 상관할 바가 아닙니다. (not really used) 신경쓰지 마세요 (most polite way) 너나 잘하세요 (most rude)

예쁘게 봐주세요 means, I wish you look at me favorably.

To tell the truth, I do not know that mans name.

사실은 그 남자를 이름은 모르겠어요

 

→사실을 말하자면, 그 남자 이름은 잘 모르겠어요 or 사실 그 남자 이름은 잘 모르겠어요.

사실 is a short term for 사실을 말하자면.

놓다 literally means put, despite there are other meanings if you just think of it as 'put', things will be easier. For example, 내놓다 means put out, since 내~ has meaning of 'out'. Also 가져다 놓다 means 'take and put' which means someone took something and put it here. If you know the word before 놓다, then it is possible that you can guess what the word means(I won't say exactly, because dictionary will show you a different word). In addition, meaning can change by the context.

xx이/가 대학시험치러 왔음 is a short term for xx이/가 대학시험을 치러 왔다. Which means XX(name of a person) came here to take the univ. test. 대학시험 : Univ. test 치러 왔다 : came to take (the test)

V / Adj +ㄹ/을 것 같다 V / Adj + ㄴ/는/은 것 같다 As you can see, adjectives can be used too. They basically means it seems to be, BUT - ㄴ/는/은 것 같다 : present tense, it seems to be - ㄹ/을 것 같다 : future tense, I think it'll be Let's see an example. 배고픈 것 같다 : It seems like to be hungry. (somebody seems to be hungry) 배고플 것 같다 : It looks like it's going to be hungry (I think it'll be hungry) Is this clear?

Would you write the whole sentence that 잠 잠 is in? 잠 by itself means sleep(noun), but 잠 잠 doesn't mean anything.