To complete this quest, you need to purchase a Tube Entrance for your Garden.  This can be found in the Artifacts tab under the Build menu. ...

For this quest, you need to do the Hourglass Study scene back in Chapter 1 and find all 12 items.

In this quest, you need to go to the London Nightclub in Chapter 2 and complete the scene by finding 12 hidden objects.

In this quest, you simply need to play any scenes you want in Chapter 2 in order to earn 5 total stars.

This quest requires you to go to your neighbor's gardens and click on characters with exclamation points over their head to do a "...

This quest requires you to purchase the following decoration items and place them in your Garden: 2 benches 2 lightposts 8 cobblestone...

This quest requires you to go to the Pyramid Shadows scene back in Chapter 1 and find 12 hidden objects there.  Easy!