It looks to me that you might be getting some camera motion blur. What type of tripod were you using? Were you using mirror-up? Was there any breeze that could have moved the flowers in the 1/6th second the shutter was open?
Also, you will get sharper results with any lens if you do not stop it down quite so far. You were at f/16 with your 70-200mm, and that lens is slightly sharper from f/4 to f/11.
And, you were at 200mm. That lens is slightly sharper if you stay off the max and min zoom settings. Try 180mm.
As far as the noise goes; was the image exposed properly? Did you brighten it in post processing? If you did, that always adds noise. Make sure to expose to the right on the histogram to minimize noise. You can always darken it later, and that will not add noise.