Here it is the כרכום of that kingdom - כאן בכרכום של אותה מלכות
Summary:
רש"י maintains that our משנה discusses מלכות אחרת, and the משנה in ע"ז discusses אותה מלכות. However תוספות maintains the exact opposite. It is possible that רש"י maintains that both משניות are מלכות אחרת and ריב"א is differentiating in our משנה whether it is מלכות אחרת or אותה מלכות.
And he went on one of them and touched Taharois - והלך באחד מהם ועשה טהרות
Summary:
The משנה discusses the טהרות instead of the person because the טהרות do not have the option of טבילה, or because the previous משנה was discussing the טהרות.
And if one asked for himself and one for himself they are Tehoirois - ואם נשאל זה בפני עצמו וזה בפני עצמו טהורות
Summary:
In a case where each one asked separately and we rule that the two טהרות are טהור that is only for two different people but not for the same person.
When he came to ask about himself and his friend - בבא לישאל עליו ועל חברו
Summary:
The meaning of בא לישאל עליו ועל חבירו is that he is asking consecutively in one בי"ד first about himself and then about his friend. However if he asks simultaneously about the two of them, everyone agrees that they are טמא, and similarly by כהנות it is assumed that the question of one כהנת will affect all the כהנות, and therefore all of them are אסורות according to everyone.
