The quest "Many Jobs, Handle It" and the events 'Shipping & Handling' or `Surge Pricing' appears to be similar to the Theater Troupe event in some ways. It's periodic and you have different tasks. Look in your bags for a Caddy Caller. You can also get one from Nanny Talullah if you don't have one. This will give start the quest. You'll get a big green arrow on your head which will guide you to the appropriate destination. Once you arrive, you'll be given a task to complete. Once you're done, you'll get another task and so on. I would definitely use the G-99 Breakneck to travel between areas. You will encounter hostile mobs.
When you get the task to 'Take a Breather', you'll head back to the shop and use the extra action button.