from my experience so far, 'kicks' is absolute rubbish. I've felt squirming, I've felt a horrible creepy-crawly feeling, I've felt something scratching like a mouse trying to get out... but I've not felt anything and thought 'ooooh, that was a kick'! And as for the butterfly flutters, I'm convinced I have maggots. I told the ob that at my appt on Friday and she laughed and said it was a much more accurate description, but most women preferred to think of butterflies!
So - you may actually have felt movement but not known it was that because you're waiting for a kick or something.
As for the doppler, it's fine in moderation. There haven't been any tests done to check the effects of using it three hours a day, but if you limit it to one or two sessions of no more than 15 mins a week, you should be fine. By now, the baby will definitely feel pressure, and that's what it won't like and will try to move away from. Last time I used the doppler, the baby was playing hide-and-seek. It won. I'd catch the hb for 2-3 secs, then it would disappear and I'd find it again an inch away for 2-3 secs before it disappeared again. It took 10 mins before I got a 10-second listen. At that point I gave up. Clearly the baby was getting sick of me prodding it with the probe, so I let it be.