The Name Rater can assist you in renaming your Pokémon in Pokémon Black 2 but only on the condition that the Pokémon was caught or hatched by you. Pokémon acquired via trades and distributions cannot be renamed. In Pokémon Black 2, the Name Rater can be found in the Medal Office which can be found in Castelia City.
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There is a name rater in Castelia city.
You can rename a pokemon by going to the Name rater
You'll find the name rater at Castelia City. It's the building north of Central Plaza on the left.
No, you can't rename traded Pokémon legitimately, you will have to use a cheating device for it such as an Action Replay. Here is the Action Replay code for it. 5215BE54 2800FB2B 0215BE58 B0022001 0215BE5C 1C388028 D0000000 00000000
Go to the namerater in Lavender Town or rename it right after you catch it.