I have seen the trio's names spelled different ways, in my opinion there really isn't a right or wrong way to spell it.

Here are some different ways to spell/pronounce there names:

Fish Eye, Fishs Eye, Fish's Eye, Fishs' Eye

Hawk Eye, Hawks Eye, Hawk's Eye, Hawks' Eye

Tiger Eye, Tigers Eye, Tiger's Eye, Tigers' Eye

I prefer to spell it with an "s" and leave out the apostrophe since an apostrophe makes it possessive and these are their names.

Fish Eye is male but in the dub he is referred to as female and has a female voice.

Zirconia is male but in the dub he is referred to as male and has a male voice.

The Amazon Trio were made by Zirconia out of a fish, tiger, and hawk. In the manga though, they are made by the Amzoness Quartet therefore the trio come after the quartet. In the Anime the Amazon Quartet come after the trio.

I'm not sure on this one. I'd guess that no one really knows that Fish Eye's male except for those associated with the Dead Moon Circus.

A lemure is basically the monster-of-the-week/episode. If you are familiar with other seasons of Sailor Moon, they're equal to Cardians, Droids, etc. Lemures are referred to in the dub as a Remlis creature, etc.

The same as a lemure (see answer above).

A dream mirror is what the trio looks in to see your dream(s). The mirror appears after one of the trio completes the attack sequence and says "three." It looks like a mirror with a pink boarder unless of course you have the golden dream mirror the trio is searching for. Once a trio member sticks their head through your mirror, they can see all you dreams and see if Pegasis is hiding there.

Pegasis holds the power to take over the world and the power to release Nehelenia from the mirror. Sailor Moon gets her power in this season from Pegasis. That's why Sailor Mini Moon (Chibi Moon) calls upon pegasis so he can supply Sailor Moon's wand with enough power to defeat the Lemure (Remlis), etc.