Damn right ... it's Austin Rogers, the "Jeopardy" sensation who's now got some serious thinking to do after his impressive 12-game winning streak came to an end Thursday ... because he's now fielding all sorts of tempting offers.

Austin, who won $411,000 during his run, is getting book offers, hosting gigs and that's just for starters.

Turns out he's been writing a book that could turn him into the next Lin-Manuel Miranda.

For now, he's keeping his bartender job. He has a good reason ... and then another which involves sexual favors.