I would disagree with the last 2 posts here about several things.

The min reraise was asking for trouble and I only use it when I'm holding high pp and have the opponents easily covered, so I use it to needle them hoping they will push all in with AK or lower pp etc. But in this case it gave you lots of info because i think any pocket AA or QQ would probably reraise all in preflop so they can be reasonably discounted. A lot of players raise with suited connectors/gappers and you are very vulnerable to draws on that flop with J10 or KJ so why check it . A good bet would be 2/3 pot and upwards to get them out or make them pay to see the draw and then a check on the turn to show weakness may allow any player still drawing to hit their draw, or even better think he can bluff you out.