A trip to Copenhagen with food in mind

My girlfriend and I are traveling to Copenhagen for 4 days early May, and one of the things we're looking forward to the most is the food. We have planned a few places to eat, and I'm looking for feedback on this list. Any one of these you wouldn't recommend or any other better alternatives to some of these in your opinion?

Lunch: Sixteen Twelve Barr, Selma, Gasoline Grill Dandelion, Slurp, Bæst.

Dinner: POPL One Ten Providence, Høst Boutique Emilia (Enomania in backup in case we don't get a table), Koan, Bæst Kappo Ando.

Bakeries etc.: Andersen & Maillard Andersen, Juno, La Glace Skt. Peders, Hart, Harry's Place

EDIT: Thank you for lots of excellent tips! Very helpful. I'll probably change multiple items on my list.

EDIT 2: Seems like the consensus is to swap out Gasoline, Slurp, Høst and Bæst.

EDIT 3: Revised the list after reading the feedback here and doing more research.