If I may, I would like to share some answers to your questions below:
Questions I am asking is...add to the list if you can, please!
Who prints the labels? - I believe the operator should be the one printing the labels, at the same time, should also be the one to check for printing defects like smears, misprints, color variation, etc. If he see any of the defects exceeding your allowed parameters, he should stop the machine and fix it or get the attention of maintenance to fix it.
When are they printed? There should be a production / packaging / printing planning, this depends on your volume requirement versus your capacity. Ideally, labels must be printed 3-5 days before scheduled packaging. Recommend to printed only 105% of volume requirement. The 5% should serve as buffer for damaged labels during packaging operations, do not overstock!
How and where are they being stored? - labels must be stored in corrugated boxes with presence of minimal moisture to prevent moisture absorption that would result to sticky labels.
Are they reading the label once it is printed? - Yes operators must check the printed labels, maybe every 30 minutes.
Is the organization of the label file(digital) easy to understand? - yes
What steps are taken when switching brands and product? - your labels must bear a reference code which corresponds to the product, market, brand, version
How are we tracking what's being printed? - your production / packaging / printing planning must be well coordinated to ensure that you are printing the correct labels for your planned packaging operations.
Do the employees see a way to make the process easier and less confusing? - you may ask your employees for any ideas / recommendations to improve or simplify the process. since they are the ones doing the job, they have the best recommendations based on their day to day experiences.
Who created the blueprint of the label? and how it was approved/confirmed? - you may have 2 teams: ditigal team for digital and blue prints, then press site team for actual printing of labels.
Hope this helps