To respond to question 1, about the idea model:
Update 12 says:
12 – IDEA IN BASE
Since it’s not clear if the light bulb slab is part of the “box” mission model, you may bring this part to Base. (Rule 2 related mission ruling)
3. The Apprenticeship mission requires that the model "represents a skill, achievement, career, or hobby that has meaning for your team".
4. If the team wants to score 35 points for delivering the Apprenticeship model to the circle by the scale, then the team has to be able to bind the two mission model people to it.