Yeah,
Tardust really grabbed hold of the Idiot Ball when he first opened his mouth about
Lizzy and didn't let go until he got a bullet to the head. The only possible justification I can think of for why he confessed so quickly is that maybe he figured they would drag him again or something worse if he didn't.
Once
Riley brought up the whole "you were at the furniture store" thing (and how in the hell did she figure that one out?), it wouldn't be too much of a leap in logic for Tardust to figure that once they had him pegged as the would-be rapist, he was done no matter what lies he concocted to try and get out of it. So a bullet to the head is a better death then being dragged again until he confessed and then possibly being dragged to death once he did.
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