Questions about course of Energy conservation

Thank you for helping me
One end of a rubber band is tied down and you pull on the other end to trace a complicated closed trajectory.If you were to measyre the elastic force F at every point and took its scalar product with the local displacement F*r,and then summed all f these . What would you get ?

I said it would give the overall force of F over the whole trajectory on the rubber band : IS IT CORRECT ?

2- How much work do you do when you hold a bag of groceries while standing still (I said : W= m*g*h) with m mass of groceries and h height of the bag from ground.
How much work do you do when you hold the same bag along a distance d across the parking lot of the grocery store(I said W= mg*d )

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