How to calculate earnings for downtime buildings when the hero is away?

I have read the Downtime rules and I am still unsure about some key aspects of it.

Lets say I have a building with an Artisans' workshop and a team of Craftspeople

Craftspeople

Earnings gp, Goods, or Labor +4

Create 3 Goods, 2 Influence, 4 Labor (200 gp); Time 2 days; Size 3 people

Artisan's Workshop

Earnings gp, Goods, or Influence +10

Benefit counts as masterwork artisan's tools for one Craft skill

Create 9 Goods, 9 Labor (360 gp); Time 20 days; Size 8–16 squares

As I understand it, when the hero is in town, he can make a capital check: 10 (d20) + 10 (craft skill) + 2 (Masterwork craft tools bonus from workshop) + 4 (Craftspeople) + 10 (Artisan's Workshop) = 36 = 3.6 gp OR 3 Goods per day.

Question 1: What happens if the hero is away? Does he make the checks for each day he was away when he gets back?

Question 2: Can a manager make daily checks instead of the hero?

Question 3: Can the hero make his daily checks when he is away using magical means of communication, e.g. with Sending?

Question 4: For each 10 units of capital check I can either get 1 capital or 1gp. Isn't it way better to make capital than gp, when each unit of capital is worth at least 10gp? Or do I still have to pay the price for earning the capital through rooms?

Thank you for your time and effort