I am no expert, but it appears (from the wood, shape and handles) to be a danish teak dresser - they date from around the mid-late fifties and sixties. Don't think they are particularly rare (check for makers mark eg) Borge Mogensen/Sorborg Mobler?), but they are lovely, and very on-trend (similar new version by West Elm sells for $1099). Didn't find one exactly like yours on ebay, but similar vintage ones listed start at around AU $550-$600 and go up from there. A great thrifting find!

I am installing MSI Everlife LVT waterproof vinyl flooring. I understand I can't use rubber-backed rugs. Is there a pad I could put under the rugs?

They can be deep and cause sore backs if you are doing a lot of washing up. Also do you need a separate sink for rinsing and draining. Make sure you think about your function not just the look. There are lots of pros too - the look and size the accomodate large dishes.

Agree with Julie, whatever you are drawn to is the right choice for you. I like the second one - horizontal lines will align with the horizontal line of the beadhead and help the room appear wider. The first one would feel like arrows pointing down at the guests to me, less restful imo. It would however add the illusion of a higher ceiling. The size is important - same or slightly smaller than bead head will create a balanced look.