1. A student has given his "host family" (the family he is staying with in Japan) a present of a university T-shirt:
僕の大学のスクールカラーは赤なので、赤のTシャツにしてみたんですけど。
My translation "My university colour is red, so ..."
... then what does the next bit mean? I know it's obviously something about a red T-shirt, but I'm stuck on にしてみた.
~にする is often used to express "to decided on ~".
赤のTシャツにしてみた=赤のTシャツを選んでみた
~てみる means "to try something to see if it works, etc."
"My university colour is red, so I chose the red T-shirts for you (hoping you would like the idea/T shirts)."
related thread from archive:
「とする」と「~てみる」
2. The student continues to talk about the T-shirt:
僕の大学でしか買えないので、それがいいかなと思って。
I can't quite get the sense of それがいいかなと思って. Literally I translated it as "I think I wonder if it (the T-shirt) is good", but this hardly makes any sense in English.
~かな expresses light assumption.
"I think it (the red T-shirt) would be OK (= perhaps you'd like it) as it is something available only at my university."
3. The conversation continues with:
ホスト(母): ああ、確かに、テレビで見るアメリカの学生がよく着てるわね。
ホスト(父): アメリカらしくていいね。
What does アメリカらしくていい mean?
アメリカらしくていい = アメリカらしい+て+いい
アメリカらしい typically American
て (stating the reason)
いい good
4. 僕ね、この週末に行ってきたんだ。
(New conversation, talking about visiting 京都)
Does ね here have the usual meaning of "emphasis, request for confirmation, etc.", as it would at the end of a sentence?
Yes.
5. The speaker has just been given a present of a 湯のみ and has been asked if it's something he will want to use.
使うよ。このごろ日本茶が好きになってきたから、これ使わせてもらうよ。
My translation: "Yes, I'll certainly use it. I've recently got to like Japanese tea, so ..."
Then I'm stuck on これ使わせてもらう. What does this mean?
~てもらう is a polite express for ~する.
もらう means to receive a favour, as if getting permission to do something.
The speaker got a 湯のみ and says that he'll use it under the permission of the person who gave it to him, if literally translated.
In daily conversation, it simply means a polite way of ~する to express respect, gratitude, etc.