I don’t know anything about Befunge apart from a little Googling. But first, note that toy languages like this probably don’t have standards in the way that, say, ANSI C does; these probably leave a lot more up to the implementer than widespread practical languages.
This document gives an attempt at a language specification (I don’t know how widely accepted it is, and I don’t know how many other dialects there might be). With this specification, at least, (1) the 2 would not get skipped (see the description of the trampoline in the quick reference table), and (2) at least in Befunge-98, the quick reference table appears to define an action for each printable character (ASCII 32-126); the Instructions section states further that unimplemented characters should behave like the “r” (reflect) command.