Peter uses this question to convince the Jewish Christians that the Gentile believers should be baptized. AT: "No one should keep water from these people! We should baptize them because they have received ... we!" (See: [[rc://en/ta/man/translate/figs-rquestion]] and [[rc://en/ta/man/translate/figs-activepassive]])
It is implied that the Jewish Christians were the ones who would baptize them. AT: "Peter commanded the Gentile believers to allow the Jewish Christians to baptize them" or "Peter commanded the Jewish Christians to baptize them" (See: [[rc://en/ta/man/translate/figs-explicit]] and [[rc://en/ta/man/translate/figs-activepassive]])
Here "in the name of Jesus Christ" expresses that the reason for their baptism was that they believed in Jesus. AT: "be baptized as believers in Jesus Christ" (See: [[rc://en/ta/man/translate/figs-metonymy]])