Hala Emad! Shlonak? I know Arabic but I would like to answer your question in English. Emad my advice to you would be to start conversing in English with any of your friends who know English and who can correct your mistakes without making fun of you. Allah M3ak

Can you be a bit more specific about the context in which these words were used. It would really help to answer you better.

Schedule according to me is more time centric in use. Example: The train is running as scheduled If I say " I would arrange for a meeting" the sentence in vague and the time factor is missing. If I say I would schedule your meeting at 9 a.m. tomorrow. Arrange is more general. Example: I arranged the flowers in vase. I arranged the books in order.

Impoverished (adjective) according to me is more likely to be used to better describe the circumstances in which a person became poor. As pointed out by Vivi "Impoverished by drought".

Slangs always creep in to the languages according to the culture of the land. So we cannot pin point the origin of most of them or how, when and who used them for the first time. But Battledore is one of the earliest form of the game called Badminton and not a book.

They are synonyms for each other. That means both of them have the same meaning

Recess in this instance refers to the holes in the floor of the sea, river, etc.

I have never come across "in actual fact". Instead it can be "actually".