So far you seem to be concentrating on cool colors and neutrals, and on cloudy/rainy/snowy days your apartment will seem rather cheerless. Introduce some warms colors, yellow and terracotta, for instance, with pillows and art. Find some very large abstract prints that have warm and cool colors both. The more wall space you can fill up with art that you love the more furnished your apartment will look even when you don't yet have all your furniture. Also, consider tribal rugs like Gabbeh (check esalerugs.com) instead of modern rugs for a more cozy and eclectic feel. You can return these rugs without charge, and you'll be able to pick pillows and other accessories using the colors taken from the rug. Make sure the rug is as large as you can afford because a larger rug will make your living area look larger and more "furnished". Don't forget books, plants and of course art to make your new home look stylish and warm. Try not to use blues and grays too much; that will just make your rooms look cold and forbidding.

They might, but the color doesn't look in the same Hue family, and those particular style chairs are not very comfortable. But if they are more for "occasional" sitting, you might be OK. I would check to make sure the joints are in good shape and glued tightly. These have a tendency to separate. Also usually quite deep. So, sit in them and see what you think. I really like the other ones much better, but understand budget constraints too. So, just make your best judgement.

The only item that might be a problem is the kitchen island. You have a modern apartment, with fairly modern/eclectic bookcase and couch, but the kitchen island is a different style. If you have an overall eclectic style that would work, but otherwise it may need to be switched out for a more modern style.

Could you post dimensions for the living and dining room? It looks like the distance from the couch to the TV might be too far for proper viewing. If so, it might be best to float the couch in the room and put the TV console where the previous blue couch was. Also, do you know what size the TV will be?