Yep, mine woke up on it’s own a couple times even though RDP was off. I happened to hear the fan come on and the display light up and I jumped out of bed to hold down the power button before it could fully boot. Someone had power it up remotely. Haven’t trusted MS since.
Not necessarily. You have a task scheduler on your system, much like Linux cron, and certain tasks can be configured to wake the computer. Often enough your mouse and keyboard are configured to wake the computer from sleep, and if a cat, dog, or wayward critter hit a button or wiggle the mouse, it will wake your machine.
You can go into Windows event viewer > System log, and look for event ID 1 (Power-Troubleshooter) to show you the wake events and what kicked them off.