Importance of slew rate and transient response

What do you mean by radiation impedance? Resistance of air to diaphragm movement?
Yes. It's low at low frequency and rises with it. Actually the reason why anything moving in a gas or a liquid is producing what we perceive as sound. Here a good explanation can be found. I discovered this recently, it's a nice roundup of what you otherwise would have to extract from standard acoustics text books.
I've had a massive headache for the last couple days (and still have it)
That sucks. Hope you'll get well soon.