I'll move my report here as well of all the things I noticed yesterday, and continuing today.
Features effected by the lag
Quest page
Ajax Pet Search
Island Movement
Island Battles
Any forum page
Posting in forums
Title details accessed from a pet's page
Pet tab/group pages
Breed button access link from pet's page
Weekly charts
Manor Reports
Timers Effected by the lag
(stuck at time is over or similar)
Pet growth from young to adult
Giving birth
Pet energy regain
I had all pets give birth at the exact same time, at Jan 19, 2018 03:49:25
Which I definitely didnt do myself, as I bred them throughout the previous day at different times.
Seems like the servers keep getting held up on something, realize they missed a ton of stuff and spew it all out at once, then get stuck again. A restart is in order perhaps.
As of 1/19 8am: quest page is no longer an endless loading page, and other pages seem 'alright'. But my pet who I battled to 0 last night now had just 4 energy, and I know I slept more than four hours. I should expect around 11 energy on him right now. I imagine it is the same with other pets around the site still.
The weekly charts are now an endless loading page.
1/19 2pm: The tutorial pet for which newbs to battle may be unavailable due to energy regain/server issue.