if you are doing everything in a raw converter the order of internal operations is always the same no matter what (in which order) you do in GUI (there might be exception when you have layers with certain adjustment in raw converter, then naturally the order of the layers matters)... if you are asking what to do in raw converter and what to do after raw converter you might want to name which raw converter you are talking about and what tools you have for postprocessing (like for example PS + some plugins for NR/sharpening, etc)... typically people when/if doing something after raw converter do something from contrast/curves|color effects/NR/downsampling/sharpening - but not WB/push|pull exposure ... that depends on your available plugins and experience with "photoshop".
The second. I use ACR typically for conversion.
My current process is this since they are not super critical
In ACR (specific to each image)
WB
Exposure
Contrast
Highlight/Shadows
Custom Camera Calibration Selected
Small anount input sharpening
Color noise reduction
Maybe some specific area adjustments
Then I use the Image Processor to Run Noiseware and then Topaz Detail and fit the image to 1920 x 1080 pixels.
Attached are some samples (pulled from a Facebook page so...) Some are decent others not. Obviously the lighting is very uneven across the field and becomes very directional based on angles and the spectrum is constantly cycling. (BWT, in top photo, player on far left in profile is my youngest daughter and her teammate enjoying the moment of beating the crosstown rival while her pregnant coach gets congratulations).