In APDL you will have to make an element table for your stresses at every loadstep and then do some table operations to find the maximum of all those steps.
Something like this:
[pre]
/post1
set,1
etable,s1,s,x
set,2
etable,s2,s,x
set,3
etable,s3,x
set,4
etable,s4,x ....and so on
[/pre]
and then use smax to find the maximum
[pre]
smax,maxtable,s1,s2,1,1
smax,maxtable,maxtable,s3,1,1
smax,maxtable,maxtable,s4,1,1 ...
[/pre]
As for your second question, is time of maximum value what you are looking for? I don't know how to do this in APDL, but this is readily available in workbench, as is the max over time result. These are available for almost all result object in the solution branch of workbench.
Hope this helps
/Peter