Of course Turkey has turkey in it but name of the Turkey is not came from turkey. It has too many stories. The country turkey come from a tribal group called turkic
Because it's a turkey. Why is an apple an apple? It's just a label for a concept. There is a particular type of bird and in English we use the word "turkey" to refer to it. In French the same concept...
Sure we do, what made you think otherwise? Just an additional information: the name of our country, in Turkish is Türkiye whereas the animal 'turkey' is called hindi (pronounced like heen-dee).