What conditions did Iran set for resuming peace talks with the US, according to the news?

Iran stated that the US must first implement 'agreed-upon understandings'—specifically resolving transit issues through the Strait of Hormuz and normalizing Iran's oil exports—before any talks can take place, as reported by the semi-official Fars news agency citing an unidentified informed source.

What did Trump threaten in response to Iranian rhetoric, and what incident prompted that threat?

Trump threatened to 'shower Iran with 1000 Missiles' if Iran acted on a threat to kill him, explicitly stating 'in this case, ME!', following reports that Israel informed him of an Iranian assassination plot, which was allegedly referenced in calls to kill him at Ayatollah Ali Khamenei's funeral.