So you won't lose your job. I just retook the barista basics (I'm a shift and trainer and wanted to see what the new training entailed) and it literally says to do what you're asking about. It talks about coming drinks if you think it'll make their day. The example it gave was seeing a regular who was having a bad day, or a mother who seemed tired and her children seemed a little hyper (the barista only comped an extra shot for that one tho). I'd say you can do it, but very rarely. And if anyone gives you a hard time, just refer to the training and remember what the reason was for why you think it was a good thing to do.

Eh, it depends on if your store tracks that because some stores use that as a “waste checker” ie who/why are we remaking a bunch of drinks. Besides, it prints orders as they come in…you can even get a name.