Town
Town is an area with no monsters, where players can relax and interact with others. Hunting automatically continues even while in Town. There are three areas, Henesys, Pet Walkway and Henesys Park.
Henesys
Henesys contains a few quests that will become available as you progress through the game. Often containing rewards like weapons tickets, companions tickets, etc.
Pet Walkway
Pet Walkway has a two initial quests. The first is on the ground level to the left, whilst the second is reach by completing the first section of the parkour challenge.
There is a third hidden quest achieved by reaching the top of the Pet Park Parkour Challenge. The reward is 1000 time tickets, achieved by speaking to Trainer Frod at the top of the challenge
The last step involves some invisible platforms. Below is a video guide from user Royce85 on how to complete it.