Possible meanings are 1) Satan's power and evil influence on people, or 2) the place where Satan rules. (See: [[rc://en/ta/man/translate/figs-metonymy]])
"Name" here is a metonym for the person. Firmly believing is spoken of as holding on tightly. Alternate translation: "you firmly believe in me" (See: [[rc://en/ta/man/translate/figs-metaphor]] and [[rc://en/ta/man/translate/figs-metonymy]])
"Faith" can be translated with the verb "believe." Alternate translation: "you continued to tell people that you believe in me" (See: [[rc://en/ta/man/translate/figs-abstractnouns]])