To answer the other questions - Sport Mode does not engage the gas engine "by default" but it does lower the point at which it will come on. You absolutely can drive in Sport Mode using electric, but it's pretty easy to trigger the engine when accelerating - much easier than in ECO mode. Personally, I am usually in ECO or, occasionally, Sport - "normal" offers neither the efficiency advantage of ECO nor the (significant) fun factor of Sport. Sport's acceleration curve is significantly more aggressive. If I'm in HV anyway then I'll often use Sport, because why not...
The car definitely does auto-unlock/auto-lock. I love that feature (though I have to remind myself to push the fob button when exiting my other cars now). If you don't move away rapidly enough after closing the door it will issue a series of beeps to warn you that it didn't auto-lock - this is a safety feature where if it senses the fob still in proximity, it avoids locking to prevent you from locking the key in the car. You can set auto-unlock to unlock just the front or all doors; I quickly switched it after the first time it wouldn't let my family in.
Like many others I'd love the regen settings to both go a bit stronger and to be persistent in all modes (or at least have the option to do so) but all in all that's a minor complaint about an otherwise very, very nice car.