1. I would write:
"Even after her retirement, she would continually make a "project" of some [...]"
2. balk·y (bô'kē)
adj., -i·er, -i·est.
"balky" here could mean students who don't want like to study or just difficult students to teach to.
- Given to stopping and refusing to go on: a balky horse; a balky client.
- Difficult to operate or start: a balky switch; a balky engine.
3. Definitely alternately.
"When you alternate two things, you keep using one then the other."
Student or Learner