Bear on a text?

(1) Does "bear on a text" mean "to enrich a text"?
(2) Does "it fell to" mean "it was the task of"?

Background info (1):

1. 
   We both could bring our teaching experience to bear on a text that balances
   scientific rigor with psychology's relevance to contemporary life concerns.
   

Background info (2)


Pleasingly, at the British Association meeting of
1903, it fell to Sir George Darwin, Charles's second son, to
vindicate his un-knighted father by invoking the Curies' discovery
of radium, and confound the earlier estimate of the still living Lord
Kelvin.
Great scientists who profess religion become harder to find
through the twentieth century, but they are not particularly rare. I
suspect that most of the more recent ones are religious only in the
Einsteinian sense which, I argued in Chapter 1, is a misuse of the
word. Nevertheless, there are some genuine specimens of good
scientists who are sincerely religious in the full, traditional sense.