You have a lot going on texture-wise so I'd probably keep it simple in terms of rug texture or there'll be too much going on at once. Warm would do well in this room though, so that's good! You mention it's away from the light outdoor area, is this photo an accurate representation of the lighting you normally get in this room? So in summary, you might want to have a look at rugs that don't have much texture, and are a bit brighter in colour to help brighten up the room. Below are just a couple of examples of rugs that could work, and one more neutral example.

Personally, I don't think the all glass table in the second photo would work, it looks way too modern to compliment your existing furniture... I would still go for a glass top table, but instead of trying to find timber legs that will match the colour of your existing timber which can prove difficult, why not go for black metal legs which will pick up the black from your rug and that nice little black side table near the window...

Hi, since your kitchen is small and there's a lot going on I would go with a very light coloured back splash. A very light warm grey as suggested could work nicely here. It would also brighten up the area a little. I certainly wouldn't introduce yet another colour. Introducing something like a bright red will draw attention to the backsplash area, but the design of the kitchen doesn't lend itself for such a high impact visual focus. Keeping it calm and neutral will make the kitchen look more like a unit rather that bottom and top cabinets with a big red/black/maroon stripe through it. The company supplying the back painted glass should either have a range of available colours to choose from, but usually any standard RAL colour should be available at a minimum. They will most likely have the RAL standard colours fan available for reference as well. I'd go with the one of lightest warm grey shades that is in the standard range. Your worktop has warm tones in it, your wall is beige, going in with a cool grey will make each colour look "off". The last thing I'd recommend is black. I know it has been mentioned, but it is just too strong of a contrast and non of the other materials and colours would support such a stark, contemporary choice. If you are worried that the existing dark red paint will alter the colour of your new glass back splash, and that's a very valid argument btw, just paint it over with two coats of white prior to installing the new back splash. I'd do that a few days prior to installing the glass to make sure the paint is nice and dry. In terms of maintenance a glass back splash is probably the easiest to look after since its so easy to clean and there's no grout that can attract dirt over the years. Good luck with the renovation :)

We have recently done a shaker style kitchen makeover for a client, it‘s in the album „Kitchen Renovations“ and from what i understand they are mostly solid wood for the cabinets.