Name and Addresses
1.Are feelings, emotions and facial expressions universal across borders, happy, sad, etc..?
Yes, they are. When people feel happy, they smile but when they feel sad, they cry or frown. There might be difference of expressions of feelings between different countries but I think feeling, emotions are common and these can cross the world.

2. Try to name as many feelings as possible in Japanese. ( 10 minimum) Then, write the English translation.
うれしいhappy pleased glad　悲しいsad　怒ったangry　わくわくするexcited　　
心地よいcomfortable　 混乱してconfused　いらいらするnervous　哀れなsorry　
いらいらさせるannoy　　　

3. Are there any feelings in Japanese that cannot be translated into English?
なつかしい
I want to say なつかしい in English sometime and try to translate it into English but I can not find English word. I think it is the one of Japanese special feeling.