to begin with
Code:
ps -aux
in a console gives a full list of running processes.
so does
Code:
 top
you kill top by hitting Q.

in top and ps -aux, you can see how much CPU and memory they use, fraction of a percent if inactive,
you may perhaps need to add |less after ps -aux (ps -aux|less) then use arrowkeys to go up/down, to see everything, again you kill less by hitting q.

now as for network acess,
Code:
ifconfig eth0 down
should shut the networkacess off (eth0 = first network card)
Code:
ifconfig eth0 up
restarts it again.

as far as I know no remote access is allowed to knoppix by default.

yes there is a list of programs on the CD and DVD, but processes is another matter.