Lovage
maple
Anise
Yes, Cumin seeds come under PARSLEY family. Other PARSLEY family members are carrot, celery, dill, anise, coriander, caraway.
flower
You can leave by the Carrot Transporter and the blimp. For a solution, see the related question.
Yes, it is a root vegetable. It is related to the carrot, looks similar to a carrot, has a much stronger flavor, and is very pale when compared to a carrot.
The Latin name for dong quai is Angelica sinensis.
It is to the far left on the island, at the Funny Bunny carrot farm. (see related question)
Fennel (Foeniculum vulgare) is a vegetable. It is a member of the family Apiaceae, along with other mostly aromatic plants with hollow stems and umbrella-like flower clusters. Included in this family are anise, caraway, carrot, celeriac, celery, chervil, coriander (including cilantro), cumin, hemlock, Queen Anne’s lace, parsley, dill, and parsnip.
The closed Carrot Cake Factory is to the right side of 24 Carrot Island. You will need a crowbar to get in through the sewer pipe at far right. (see related question)
If you find the lost cat for the clerk at the Carrot Surplus store, she will give you a crowbar as a reward. (see related questions)
A carrot is actually a root. Botanists refer to it as a taproot, since the large orange part we normally eat grows down into the soil, with small root hairs extending out from it horizontally. The above-ground greens are also edible, though they're not commonly consumed.