I don't know what drill they actually rehearsed, I sometimes think I worked for the only company that actually trained for a landing after a total power loss. It always came as a surprise, you had to identify that it was a multiple flameout, (not an electrical failure) there were memory actions to be completed, and the simulator was programmed so you could not get a relight and had to deadstick to a successful landing on the confines of the pavement you were aiming for, (BTW contrary to popular belief, commercial jetliners do glide quite well).
As for question one/two; a screen would never be strong enough, plus it would be highly conducive to icing, an even worse threat. There could be ways to deflect birds away from the engine, but no one has come up with anything practical yet, so we have to rely on the strength and integrity of titanium blades, these things can take a lot of abuse, but only to a point.
Wondering? Hell, if I had Million $$$ +++ book deals I'd hang up my wings in a New York minute.
No ya wouldn't.... Ya'd be fixin' a turbo to a Norseman frame.... ;-)