I agree about the two different heights being OK, but also agree about the functional problems that this kitchen has. It won't be a friendly space for more than one person to operate in and will be difficult for anyone from outside the kitchen area to come in and get a drink or snack without disrupting the prep, cooking, or cleanup process. Island cooktops can be great places when you create "cockpits" for the prep to occur beside them. To do that, you need a water source, and good overhead ventilation. You don't have the first, and there is no indication about what you've chosen for the second. It does cost a lot more to do right, but if it's not done right, you end up not using the island for the social prep zone or with greasy dirt all over the house. Cooking is only 10% of the time you spend in your kitchen, while prep is 70%. The island has to work well as the prep area to match the vision that most people have of an island cooking zone. Swap the fridge and the wall ovens in order to get the fridge more accessible from those outside your kitchen. I also would just consolidate the two pantries on the L leg close to the eating area and leave the fridge as the only tall cabinet anchoring the taller cabinet area with tall wall cabinets and a too the counter cabinet only in the corner to match the fridge on the end. This gives you better counter space next to the fridge where it's needed. I'd also put a prep sink on the island. As it is, you'll be doing a LOT of twisting back and forth back to the water at the sink under the window when you are prepping. That's bad on your back, and doesn't lead to successfully having two distinct prep and cleanup zones. It creates crossing zones and means that you can't efficiently have two people working in the kitchen at the same time. The sink and the cooktop are also butt to butt, which is poor ergonomics for more than one worker. Shift the cooktop closer to the eating end, and put a prep sink on the corner close to the new fridge location. I'm not real fond of the raised bar area either. It doesn't add anything to the island when you already have seating at one end already and it chops up the island badly visually and functionally. If you are doing it merely for safety's sake, then cut it back to just a 4" topper to the wall, but I'd just eliminate it entirely as long as you can have 12" behind the cooktop.

Search for some of @KarinMT's posts - she is a geologist and has written quite a bit about quartzites vs. marbles and Super White in particular. Here is one of her published articles " What about Super White? Super White is one of the stones that is frequently caught in the quartzite vs. marble mystery. Most commonly, Super White is dolomitic marble. That means it won’t scratch glass and it will etch with acids. Some Super White has minor amounts of quartz mixed in with the marble. But the rock is still marble and will act like marble. When doing the glass test with Super White, be sure to test a few different areas to get a sense for the overall rock. Is it all the same? Or are there some parts that are harder or softer?" Be absolutely sure to test several areas of the slab(s) in question and understand you have a marble.

Option 1 is fine. Don't see what the big deal is. In older houses, it was very common to have different styles (grades) of trim in functionally distinct rooms. Here are the two side of the dining room/kitchen doorway in my house: Dining room has fancy dentil molding, which is what's also in the foyer and living room. Then you go through the doorway into the kitchen, and this is on the other side: Super basic trim plus rosettes. Victorian equivalent of standard issue trim. This style is also upstairs (but not in the bathroom). They only went all out in the "public" rooms and then transitioned to the simple stuff for the kitchen because it's a kitchen. If the standard issue trim doesn't work in the bathroom (a separate and functionally distinct room), then get the trim that works.

Personal opinion. If you look at the kitchens deco posted i think they look nice enough but would both have been even better with the same counters, i dont think the different perimeters add anything (except some visual chaos) in either case. Agree. One other thought. If I hadn't found my busy and exciting quartzite, i would have picked a very quiet stone or a plain quartz, paper stone, etc and then done an interesting backsplash with color.