I read a lot of books, too many to remember all their titles and authors.
Anyhow, some book I once read on handedness and the brain said that studies show that people:
1. may use the left hand to do a task one time and use the right hand another time
2. can't predict accurately which hand they will use to do a task.
(I assume that this doesn't include writing.)
As for telling right from left, I once started a thread about dancing and asked how many people, when asked to move their right foot, know instantly which foot is their right. About 30 people answered, I believe, and only one person said they know right away. The rest of us have to think about it.
I remember a dance session where the first thing the teacher hollered was "Locate your right foot!" She understood people.