None of the jokes landed for me because it didn't resemble anything that I've ever experienced in an office, while the UK version was more aligned with my experience but exaggerated.
Most corporate places won't allow you to keep pets in the office. There's no reason why an obviously incompetent worker would end up being a manager. There's a few instances in the trailer where you can easily dob management to Fair Work.
Here's what I'd change:
Manager is clearly incompetent but the reason why they're there is because their underling does all the work for them exceptionally well but doesn't get any credit. They have impostor syndrome and never think they'll be manager material. Manager has an MBA that they flout all the time.
IT is incompetent and has weird rules about what you can and can't do on the office computers. For example, no one has the internet on their PC and can only access it through an internet computer (I've actually experienced this). There's a worker in the office who's a tech enthusiast and runs rings around the IT person, acting as a thorn in their side.
HR is done unofficially by the admin team because it's a small business. They're clearly not qualified for the job and treat it more like an advice service.
And so much more...