What was Nehemiah's position in the Persian king's court?

Answer: Cupbearer

Nehemiah was cupbearer to King Artaxerxes; he was serving the king wine when he asked to go to Jerusalem.

“O Lord, may Your ear be attentive to my prayer and to the prayers of Your servants who delight to revere Your name. Give Your servant success this day, I pray, and grant him mercy in the sight of this man.” (At that time I was the cupbearer to the king.)”— Nehemiah 1:11 (BSB)