"As-tu as bien dormi ?" or "As-tu passé une bonne nuit ?" would be the commonest phrases for "how was your night" in French. If you are supposed not to have slept but have an active night instead (working, partying), it could be more literally "Comment s'est passée ta nuit ?"
have a wonderful night = passe une merveilleuse nuit
"une boîte" is a box in French. It may also be a night club.
My name translated from English to french is Allen
Vendredi in French is "Friday" in English.
"Out" in English is dehors in French.
"Where?" in English is Où? in French.
C'est une nuit merveilleuse! is a French equivalent of the English phrase "It's a wonderful night!" The exclamation also translates literally as "This is one marvelous night!" in English. The pronunciation will be "sey-tyoo nwee mer-vey-yuz" in French.
Quoi? in French is "What?" in English.
"Can I ...?" in English is Puis-je ...? in French.
"(I) am" in English is (Je) suis in French.
Où? in French is "Where?" in English.
Faire in French is "to do" in English.