I think that villain doesn't have the straight or trips on 5th, or he would reraise there.

On 6th he is claiming to have the straight - he may have nothing at all, especially given the two threes that are already out. Personally, I would check/call 6th, and then call 7th, given that hero has made two pair, and villain most likely needs the case 3 for his straight. I don't see any real advantage to raising here.