Bash Compound Conditional, With Wildcards and File Existence Check

I've mastered the basics of Bash compound conditionals and have read a few different ways to check for file existence of a wildcard file, but this one is eluding me, so I figured I'd ask for help...

I need to: 1.) Check if some file matching a pattern exists AND 2.) Check that text in a different file exists.

I know there's lots of ways to do this, but I don't really have the knowledge to prioritize them (if you have that knowledge I'd be interested in reading about that as well).

First things that came to mind is to use find for #1 and grep for #2

So something like

if [ `grep -q "OUTPUT FILE AT STEP 1000" ../log/minimize.log` ] \
      && [ `find -name "jobscript_minim\*cmd\*o\*"` ]; then
   echo "Both passed! (1)"
fi

That fails, though curiously:

if `grep -q "OUTPUT FILE AT STEP 1000" ../log/minimize.log` ;then
   echo "Text passed!"
fi
if `find -name "jobscript_minim\*cmd\*o\*"` ;then
   echo "File passed!"
fi

both pass...

I've done a bit of reading and have seen people talking about the problem of multiple filenames matching wildcards within an if statement. What's the best solution to this? (in answer my question, I'd assumed you take a crack at that question, as well, in the process)

Any ideas/solutions/suggestions?