To get the [npc=197963] you need to head to the Serene Dreams Spa and kill [npc=197346] at /way #2025 40.49, 45.34 Mudgatu
Mudgatu will drop the [item=200586] which give you the Derelict Fashion quest. This will take you over to [npc=198062] to turn them in.
Once you turn them in you'll need to speak with [npc=198062] again asking for a better reward. At this point, he'll suggest you head over to the VIP area so you can 'enjoy his company further as a reward'. He'll grab a glider from Redd Skyhammer and glide over to the VIP island, where it looks like he dies. Speak with him again, saying that he looks dead.
At this point a small slime called [npc=198590] will spawn, and run away to a branch behind Barozdormu at /way #2025 38.60, 46.42 Sneaky Mud Mask
Once you get close enough the yellow ! will pop up for the Special Treatment quest.
Head back over to the sulking [npc=198062] sitting on a bench, and turn in the quest for your [npc=197963] pet!