Looking over your photos - here is what I come up with.
Camera shake.
Unless you have an IS lens, you should follow the shutter=1/Focal Length rule (especially with a crop camera). What this means is that if you're zoomed to 200mm, you should use 1/200 for shutter speed - or faster. You can use a slower shutter speed, but you have to be steady.
If your lens does have IS, you need to find out what generation. Some IS can compensate up to 2 stops, while others can do up to 3 and the newest I hear is up to 4!
So say your IS lens is 2-stop IS - it's 2nd Gen stuff.
If your shot would have to be taken at 1/125 (at 125mm), with the IS on, you could take the shot at 1/30 and be okay for the most part. With a 3-Stop IS (like my 70-200mm), you could go one stop further to 1/15. That may be one of the advantages that my IS lens offers compared to your lens if you don't have IS (or if it has older IS tech).
But I'm going to guess it doesn't have IS and you're just shooting at too slow of a shutter speed for your focal length. The cat can remain perfectly still - but due to camera shake it doesn't come out tack sharp. Part of this can be lens quality as well.
One of the awesome things about LiveView is that I can demonstrate the value of IS to people. Turn on live view, zoom in to 200mm with IS off, and then using LiveView, do the digital zoom to 10x.
Watch how much the image moves when you try to hold it still.
Then flip on the IS. HUGE difference. You can usually keep the image very still - not nearly as much movement.
In one of your shots, you're shooting at 200mm and have a 1/30 shutter speed. Unless you've got IS, you should never ever do that - especially without flash and not on a tripod. If you're on a stable tripod, use whatever shutter you want for the most part.