Thanks for your replay; abot the AQ vs JJ, that was a typo: fixed it. But you suggest I should bet/raise on the flop and then check/call QQ against those guys to the river if no overcards come?

And yes, this is our average TA/A player with something like 18% VP$IP and 7% pre-flop raise; against our 3%-3% I know what to do

Can you explain why you want to reraise with JJ and QQ? What are your objectives?

Every situation is different, but if you find yourself in a spot where you have a strong hand (note I say strong, not a monster.....these are simply pair hands you posted) but don't know where you stand, and fear you may be behind, or don't want to get in a shootout, the safest thing to do is go into check call mode.