No. They might have to say why they went around but they can't be punished for it (that's a great way to open yourself up to liability even stripping away all of the human elements). And I can't imagine any reason that an airline would truly care since they don't want their planes crashing so they don't want to discourage pilots from going around if they need to do so. The delay incurred is usually fairly small anyways, maybe 20-30 minutes.

However I will say that the majority of unstable approaches (97%!!) do continue to landing: https://flightsafety.org/wp-content/uploads/2017/03/Go-aroun...

...but I think that most of these unstable approaches are likely marginally unstable and only in one dimension. This landing was so far outside the realm of normal it's actually mind boggling that it actually happened. Pilots are trained to immediately go around without questioning it if many of the things that happened on this flight occur (such as not being in landing configuration well before touching down!)

No, they're reprimanded for continuing.

https://skybrary.aero/tutorials/stabilised-approach