Twisted Cork Hyatt

Likely more than adequate for your needs during your stay, it is a great gym for a hotel. If you need more amenities, there's a number of good gyms such as L.A. Fitness within a few minutes of the hotel.

Daniel' Broiler, Din Tai Fung, Maggiano's Little Italy, Pearl, The Cheesecake Factory, Lot No. 3, Tavern Hall, Cactus Bellevue Square, Eques. Those are a few all around the corner and all excellent. There are many others under 5 minutes walking distance near the hotel.

No Jacuzzi.

Yes but they you have to pay for them the Hilton are free

as far as I remember, these are present.

Yes

Depends on what side you are on

They can but they charge a fee per package. Better call them in advance.

Yes!! There is also tea!