I still recomend turning off the monitor, or at the very least turn it to the lowest possible setting. This way if he needs you you'll here him, but he'll still have the opertunity to settle himself. He's off to a wonderful start, just needs time now.
BTW we turned the monitor off at 12 weeks and thats when DD started sleeping through the night, I didn't get up for every little noise anymore.
If he needs you you'll hear him.