I have a few comments and questions:
1) The first two look very much like the flowers I shot this afternoon.
2) If you look critically at the first series, what becomes noticeable is that the nice clean green background has some brown areas at the top. I hesitate to use the word "distracting" because there was a thread about the most over-used word in critiquing and it was - "distracting". So I'll say the brown areas draw our attention from the prime focus of attention. This is one of the hardest parts of flower photography, particularly with irises - they are often planted by themselves with plenty of nice attractive dirt showing. Getting a clean uniform background is tough to say the least.
3) Other than that, I'd say you've done well.
4) My philosophy on flowers is that they have so much detail and interesting points, that a secondary point of interest is not necessary (the background), so I attempt to blur it as much as possible. Quite different from landscape photography.
5) I see you shoot both RAW and JPEG at the same time - is there any reason you take the JPEG image? I have found that flowers can take quite a bit of work in PP, and the RAW file provides so much more control than the JPEG.
6) I don't know which software you are using; I use Lightroom, and there is a neat set of controls called "Camera Calibration". After reading Martin Evening's LR book, I tried increasing the both the Red and Blue Primary Saturation levels - some might think this is deviating from the true colours, but it really makes the violets, purples, etc pop. It's a matter of personal choice.
7) Sometimes I decrease the Luminance of the flower parts which seems to give them a bit more punch, but too much reduces the detail. I don't usually increase Saturation.
8) I'm never quite happy with the colour of green of most foliage - too yellowish green for my taste, so I change the HUE of the greenery to make it slightly less yellow and a wee bit more blue. Again, this is personal taste, but I offer it as an idea.
After this ramble, I'm sure you can offer me some tips in PP - I would welcome them.