Yes. But not many.
Yes ,some rooms do, I assume you'd have to request it...
It definitely depends on your suite size. The smaller ones are definitely just one large room with only the bathroom being separated by its own door. In larger suites, yes, you will have a separate bedroom door. Just ask when making reservation if you need a specific type.
They have both, some rooms have a separate bedroom with a door that can be closed. Some (cheaper ones) are a single large room. All have kitchens.
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