I think emotions and facial expressions are same things. Many people who live all over the the world have same emotions.
2. Try to name as many feelings as possible in Japanese. ( 10 minimum) Then, write the English translation.
幸せ hapy 悲しい sad
嬉しい glad 楽しい fun
疲れた tired ドキドキする beat
興奮する excite 羨ましい enviable
怒る angry 緊張する tense
3. Are there any feelings in Japanese that cannot be translated into English?
I think Japanese vogue-word, "Mukatuku" is difficult to translated into English.