All In...

This is my first post as you will probably tell. I was playing in a home game and was wondering if you guys can help me out and tell me if I made the right move. It was the final table of a 20 person No-Limit tournament. I was at the final table with 5 other people. The blinds were $2 and $4 and I had about twice as many chips as I had started out with- about $100. I was in mid-position and recieved the J [img]/images/graemlins/heart.gif[/img] and J [img]/images/graemlins/diamond.gif[/img]. I raised it about twice the size of the pot which was about $10. It was folded around to the big blind who re-raised me $5. He was the chip leader who was a semi- tight player but could also be trying to push me around. When it came back to me I pushed all in. He flips over K [img]/images/graemlins/club.gif[/img] and Q [img]/images/graemlins/spade.gif[/img]. It was pretty much a race and he caught a K on the turn. Did I push the JJ to far? Anyways thanks for your help.