> The telescope had three radar transmitters, with effective isotropic radiated powers (EIRPs) of 22 TW (continuous) at 2380 MHz
Twenty. Two. Terawatts. Now, what that means in context is that if you were looking down the business end of that dish, it would be hitting you with as much RF as though you were standing the same distance away from a 22 TW regular dipole antenna. Put another way, it shines with the same brightness at dead ahead as a 22 TW antenna would show from any direction perpendicular to its length. Because the dish is highly directional, it's only that bright in a tiny angle covering a tiny fraction of the sky.
If you're standing behind it, nothing. In front of it? You turn into Dr. Manhattan.
A dipole does not radiate isotropically. It has a gain of 2.15 dB over the theoretical isotropic antenna. Gains with respect to the dipole are ERP, not EIRP. But still a lot of power :-)
Not zero. Even a full Faraday cage only has 90dB or so of attenuation. But measuring it would be darn hard, since the attenuated signal would be swamped by diffraction, skyscatter and reflection by nearby objects of the stronger side lobes.