I'm going to do a bit of research into the possibly wrong information I have on satan/devil.
Tell me if I'm missing something that I have said on the matter without proper biblical backing.
1) Satan and lucifer are the same
2) Satan and other angels fell from heaven
3) Satan is one of god's most beautiful creations
4) Satan hates man
5) Satan is a generaly evil entity
E: autocorrect is dumb
1) That's correct. I think that Satan is actually the Hebrew word for "enemy"
2) That's correct, so it's erroneous to differenciate "fallen angels" from "demons" as they are just the same.
3) That's correct. The thing is that he was also the proudest. He tought that he could be a God, because of his beauty and intelligence being superior to that of the other angels. Many angels begun following him and decided to disobey God. You can tell that that didn't worked out well for him.
4) Well, he hates God and all of his creation. It's both hate and envy, as he sees that God's creations are superior to his (he created Hell, wich ended up being the most horrible thing on existence), so he wants to destroy and/or rule everything that God created instead.
5) Not generally, Satan IS evil itself. Only hate lives inside him, and everything releted to him must be avoided, despite he would try to decieve you to think otherwise.
Also, another thing about the Devil, is that even though we reference it as "him", he is an angel, and angels are genderless. So Satan and demons in general are genderless too.
Also, unlike the non-abrahamic religions, there are several demons, but Satan is the only one with a name (several names actually).