As a by the way, the port holes on the shuttle are small because they use all that wall space. The 'windshield' is actually fairly big.
A Faraday cage won't help against radiation except for gamma, and it would need to be very tightly woven. Also, a Faraday cage needs to be grounded to function properly...
The only real stresses during landing that you wouldn't get on a normal airliner is heat, and your windows shouldn't be getting that much heat if placed properly.
And as far as the whole 'lead is heavy, but heavy doesn't matter in space' it is easy for most people to confuse weight and mass, and mass makes a huge difference on a spaceship
Yes. You still have to deal with the inertia of the lead (annoying as heck, and hard to deal with in battle).
Even if you didn't have to deal with inertia, good luck taking off/ landing your lead ship on the nearest planet.
One small step for cat, one giant leap for catkind.