OK, one by one:
""Applying an in band CW (slightly offset respect to LO) tone to the LNA, "
I didnt get what you meant by CW tone. and why should it have offset form LO frequency? I guess the zero-IF architecture will have the LO frequency same as that of incoming signal (which is modulated)"
CW: continous wave, a simple sine wave. To measure the small signal gain usually it is used a CW, and you need to apply it in the freq interval LO+\-BW/2 to measure it in baseband circuit at 0-BW/2.
"Could you please elaborate on math? i have not done much of communication based course. What math might be needed to find the specs form the so obtained logic levels? "
The CW signal in 0-BW/2 bandwidth goes through the ADC, is aquired by logic analyzer, then it has to be converted into a spectrum, to measure its spectral characteristics. I don't have large experience in that, but you can look for many reference in ADC literature.
"test analog separately means?? "
If you pick the analog signal before the ADC (from the test point you mentioned), you measure only the analog circuits.
"calibrate what??"
NF measurement are usually based on Hot/Cold (or so called Y-factor) method.
You need a noise diode that generates a well known noise levels, so it is "calibrated". See for example cp.literature.agilent.com/litweb/pdf/5952-3706E.pdf
Mazz