All are correct and used in casual situations like among friends. Their nuances in English are じゃあ; See you. また（ね）; See you soon. じゃね; See you. （じゃあね is more natural） You can also say それじゃ（あ）; See you then. When you say "See you" to elder people in Japanese, "それでは(失礼します)" is the best. It also means "See you".

Yes 　It is correct 　It like 1. Hen gap lie is/ じゃあ　また/See you again! 2　Tam biet /　じゃあ/See you! 　It use inFriend to Friend but in office also use Basic Japanese form　those are 1 is "それでは、また　会いましょう　2.　ではまたね. Both Japanese Words correct and when say good by to friend or company staff.. Image like じゃあまた　use in office or school at weedend or before holiday. じゃねis use by ladies week day at office or school.