I would like to ask a shayla. I was making an omelette in a milchik pan that is not a ben yomo. When It was ready I accidentally took a fleshik fork (which might be a ben yomo but im not sure) and used it to put the omelette on a plate. By the time I realized the fork became scolding hot and im pretty sure it touched the pan. So I guess my questions are 1. Is the omelet mutar to eat? 2. Does the pan need to be koshered? 3. If the omelet is asur to eat then does the plate (milchik) I put it on and the second fork (milchik) I used need to be koshered?
Thank you 

A. Shulchan Aruch (Yoreh Deah 95: 2), rules that the “Nosen Tam Bar Nosen Tam” leniency (when only the imbedded flavour on the utensil remains) applies even to pareve food prepared in a meat or dairy pot. The Rema notes that the Ashkenasi tradition is to permit after the fact.
Therefore. Horav Shlomo Miller’s Shlit’a opinion is that adding the fact that this case contains a s’fek s’fiko or double doubt, the omelette and the utensils are permitted. If possible the utensils should not be used for twenty four hours.

Rabbi A. Bartfeld as revised by Horav Shlomo Miller Shlit”a