No. When people say that, they usually add something specific like "There he goes, doing what I asked him not to" The possible meanings for "There we/you/he/she/they/specific person goes (go if you are using they or we)" are differentiated by someone's tone. If someone says that in an angry tone, they usually mean they don't like what said person is doing. However, if someone says "There you go" in response to someone not knowing what to do or where to go, they mean that the person they are talking to is on the right track. For example, I don't know how to solve this math problem. My teacher shows me how to solve it and I say the steps I think he/she took to solve the problem. "So I carry the 2x over to the other side and divide both sides by that number?" If you are right, they might say "Yep. There you go. It's that easy." As for "See, there goes the king's son," I need to know the conversation, tone, and context. It's hard to determine the meaning when just giving the sentence. It could mean the king's son arrived and he/she is pointing that out because someone doubted that. It could also mean what I described above and some others. There are many ways to use that phrase. I won't go over every single one but there are a lot of ways to use it.

'In a couple of days" is the better way to say that but, yes, they mean the same thing.

"Some children have talent about music,they will become polular singers in the future.in this case ,so we have to develop this skill of them in the early age?" First let's correct that sentence. "Some children are musically gifted and they will become popular singers in the future. In this case, should we develop their skills while they are young?" Answer: If they want to practice, then that's fine. I don't see why that would be a bad thing. However, I don't think they should be forced to. Being a popular singer shouldn't be the motivation for practicing, though. Popularity is hard to maintain, especially in the mainstream. Very few stars make it past 2 years of popularity.

"Woo the client" means "amaze the client" or "make the client interested."

I rarely hear it being used to mean specifically 2 days. Most people mean "a few days" when they say "a couple of days"

""First notebook entry: Introducing myself

I want learn to English!
because...
I like to travel abroad.
English is spoken in a lot of countries.
but, I can't speak English. It is inconvenient...
(I can understand a little (I'm sure that's what you mean) English)

I want to make friends with a foreigner. :)

*My Hobbies*
-shopping.
-reading comics.
kimini todo ke (君に届け)
fullmetal alchemist(鋼の錬金術師)
-drawing pictures. (this makes more sense)

-music.
especially J-pop and ANIME songs!
-favorite singer
shokotan(中川 翔子),
ikimonogakari(いきものがかり),
arashi(嵐)
L'arc~en~ciel(ラルクアンシエル),
Perfume,
Base Ball Bear,
Janne Da Arc,
maaya sakamoto(坂本 真綾)

*My favorite*
-Harry Potter.
I like both books and movies.

-Tokyo Disney'Land and Disney Sea. :)
I love splash mountain and the tower of terror!""

"The picture is of a small house." means it is a picture depicting a small house. "The picture is a small house." can mean the same thing but to me, that sounds weird. That can be taken as literally saying the picture is really a house which doesn't make any sense as pictures can't be houses.

Nosy basically means getting into other peoples' affairs when unnecessary. The whole sentence means "Will you leave me alone?" It's just another way of saying that.