Kashrut

Question

I will be in a place with no kosher food but from this website I learned what to do. I will use a pan in the hotel kitchen, kasher it, and cook some fish. I know that I can use the silverware and the plates in the hotel restaurant. My question is, does the utensil I use to take the fish outt of the pan need to be kashered. before use? In other words, the utensil is being placed in the keli rishon - does it too need to be kashered.?