Looking at the photo the two colors look fine together. I also don't have an issue with tile in a separated kitchen and bathrooms with other flooring everywhere else. This is quite common and may actually add a bit of interest. Having one flooring throughout does add a cohesive feel to the space, but there can be a fine line between cohesive and boring. A architecturally interesting home be amazing with a monochromatic color palette, but a typical square box home can really look dead with that same palette. What I can't tell from the photo is how these will work with the rest of your home. When picking flooring for my own home I got a box of each of the laminate tiles that I planned on using and laid out a 6'x6' test area, moving it from room to room, looking at it throughout the day. Flooring is way to expensive to change if I make a wrong decision. My flooring store did tell me that if I didn't like the one I picked I could trade the box for another color, so there was zero risk in buying a box to get a better feel for what it would look like in each room.

This reminds me of a home I looked at when I was bought my home. It was a classic MCM, and from the outside it was one of the prettiest homes in the city, but the owner had ripped out the original kitchen and plunked a 10x10 kitchen floor display into the space. He didn't even bother to put a wall behind the cabinets where there had been a doorway - just nailed up some plywood and put a large tall bookcase on the backside so you didn't see the plywood and backs of the cabinets. That along the bathroom counter that was a wood slab faux painted to look like stone, ivy growing on the walls inside the basement, mismatched tile behind the toilet and few other DIY disasters screamed "Money Pit". I think most potential buyers saw the kitchen and knew this was a DIY disaster and like me, thought "OMG - if this is what I can see I don't want to imagine what they did that I can't see." It looks to me like these cabinets were ready to finish and are still in a raw state. After 5 years finished cabinets would still look like new - even builder grade laminate cabinets would still look like new. It looks like water damage to the cabinet door under the sink. You have a huge and expensive job ahead of you. The drawer falling into the cabinet is most likely an easy fix - they threw these things together and din't tighten screws and make sure things were done right. The drawer track guides need to be screwed back into the cabinet wall. The handle on the other door could be easily repaired by replacing the screw. I think you can make the cabinets look better if they are not damaged by painting them a dark color. More expensive options are to replace door and drawer fronts and keep the boxes, most expensive option is to tear out the cabinets and start over. Before you do anything you need to have a plan and a budget and a realistic idea of what you can do vs what you will need to have done. Labor is expensive. You also have to know if that wall you are planning on taking out is load bearing. I have the gut feeling that if it could have been removed the last owner would have taken it out. Once you know what you are doing a floating LVP or LVT floor can be laid over the current flooring. This is a reasonable DIY project. Based on your comments I am guessing that you are not rolling in excess money to spend on a complete gut and replace. If I were you I would inventory the current cabinets - determine what is salvageable and what is badly damaged. Add the inventory of the cabinets in the basement. (You need to note width, height and depth of each cabinet as some may be wall and some base cabinets and width is variable.) Then inventory the appliances - again noting height, width and depth. Then measure your current kitchen and draw it out on graph paper - noting the exact position of each door, window and appliance. Then I would post this information on Houzz and ask for assistance in creating a functional space using existing cabinetry. This community has some really talented people who are willing to help you for free. I would also suggest checking out some DIY clinics at your local home depot and watching a ton of You Tube videos on DIY Projects. Learning how to do things and do them right can be a huge savings.

Congratulations on the purchase of your gorgeous mid-Century! Those ceilings are original and beautiful and so is the fireplace. I think it is an unfortunate mix--the oak laminate flooring with that lovely original T&G wood ceiling. So to answer your question, I think carpet is the way to go in the bedroom. It is nice to have carpet in the bedroom for bare feet getting in and out of bed. A shag would be era appropriate. I would go with a color that you like and not take the safe route of beige like it is now. The other possible choice would be a real wood floor in a medium tone to better match the ceiling, then put a big giant rug under and around the bed, or in front of the nightstands and into the open space of the room. You could paint the beams or leave them dark brown (is that stained wood or paint?) Painting them to match the wall color would be soothing in the bedroom.

Beautiful space! Do you already have the table and chairs that are to go there? Or a budget? I like a simple, pretty black or oil-rubbed bronze fixture with shades for this space - images below are Piaf and Bryant by Visual Comfort.