Mauve: 7/10 because naming a Pokémon after its color isn't exactly original, but I like how you called it something more original than "Pink" or "Purple".
YiYa: 8/10 because it's a nice way of looking at it (I never thought of Absol as a yin-yang), but it's hard to pronounce, and I dislike names with capitals in the middle.
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Pokémon: Gyarados (shiny)
Nickname: Hydraque [hi-DRAW-kay]
Reason: "Hydr-" from Hydro, "Hydra-" from the multi-headed serpent monster, "-draque" from the Latin word for dragon, and "-aque" from aqua. It all fits together like a puzzle!
Pokémon: Cyndaquil (evolved later into Quilava and Typhlosion)
Nickname: Helios [HEE-lee-os]
Reason: I wanted to call it something related to fire, but "Blaze", "Flame", and "Burn" seemed way too unoriginal.
Pokémon: Pidgey (evolved later into Pidgeotto and Pidgeot)
Nickname: Caelos [SEE-lus]
Reason: From caelum, Latin for sky.
And how could I forget...?
Pokémon: Mudkip (evolved later into Marshtomp and Swampert)
Nickname: (brace yourself) Whicker [WIK-er]
Reason: *sigh* Whicker was originally to be named Whacker. This was because at the time, when I knew little about Pokémon, I thought a cool attack for Mudkip would be extending its whiskers/gills and... well, whacking the opponet with them. (¬_¬) I then decided to combine that with "whisker" to form Whicker.