You asked:

is charlotte amalie west of badajoz

Yes. Badajoz is east of Charlotte Amalie.
Badajoz
Badajoz

Badajoz -, the capital of the Spanish province of Badajoz in the autonomous community of Extremadura, is situated close to the Portuguese border, on the left bank of the river Guadiana, and the Madrid-Lisbon railway

Charlotte Amalie
Charlotte Amalie

Charlotte Amalie, the capital city of the US Virgin Islands

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