How far away from the wall should it stand so that it doesn't look tacky?
My opinion: docked islands are tacky. For a more spacious, airy impression, you set an island as an island. A peninsula is just a peninsula.
And then it depends on whether you need the free space to walk through or not. If you can't walk through, you trap yourself in the kitchen. If it is an emergency passage, i.e. a secondary passage, then it can be narrower. I would never think symmetrically there, as that hasn't proven itself within a kitchen.
What advantage do you have if you put the stove against the wall and the sink on the block? Less mess?
It depends on your point of view. For Kerstin water on the island makes more sense. Many others put the sink on the island because Instagram shows it a lot.
For me, the sink is a place where sometimes or often dirty dishes are parked for more or less a long time. Good knife (blades) and board daily in the sink, when guests are around, also the mess around it sometimes. Also within reach: sponge, brush, disinfectant, and dish soap.
And honestly? I don't want that on the island, which mentally is half assigned to the dining area. I prefer to have the stove there, from where delicious food is carried straight to the dining table. Of course, if your cleaning process and rituals for food are different from mine, then you will argue differently too.