It’s not that unusual for people to go to work on days off to finish paperwork, finish tasks, organize stuff etc It typically happens with salaried jobs, jobs that require paperwork and tasks that carry over (same patients you see every day, same students you teach, same project you continue every day etc).

As an hourly employee with tasks that don’t carry over to the next day, I don’t think you should go into work.

No I don’t think it’s wise to share such things with coworkers.