So, I managed to figure out a couple of things, namely the average line and label for it (I put it in the title so it would be readable). However, the timestamp still eludes me, as well as a sensible size for the eps out put. Here is the modified script.
Any thoughts on how to get a properly sized EPS figure (ultimately, I'll wind up calling epstopdf to convert to a PDF file).
# New script
set terminal png size 850,1100 font "Courier New Bold,9"
set out "test2.png"
set xrange [0: 30]
set yrange [-2:8]
set ytics -2,2,8
set mytics 2
set mxtics 5
show mytics
show mxtics
set boxwidth 1.0
set style fill solid 0.75 border -1
set key autotitle columnheader
set ylabel "Val"
set multiplot title "Test Run 2 Vals" layout 10,1
stats "tmp.dat" u 1 nooutput
plot "tmp.dat" u 1 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean val: %g", STATS_mean )
stats "tmp.dat" u 2 nooutput
plot "tmp.dat" u 2 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean Val: %g", STATS_mean )
stats "tmp.dat" u 3 nooutput
plot "tmp.dat" u 3 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean Val: %g", STATS_mean )
stats "tmp.dat" u 4 nooutput
plot "tmp.dat" u 4 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean Val: %g", STATS_mean )
stats "tmp.dat" u 5 nooutput
plot "tmp.dat" u 5 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean Val: %g", STATS_mean )
stats "tmp.dat" u 6 nooutput
plot "tmp.dat" u 6 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean Val: %g", STATS_mean )
stats "tmp.dat" u 7 nooutput
plot "tmp.dat" u 7 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean Val: %g", STATS_mean )
stats "tmp.dat" u 8 nooutput
plot "tmp.dat" u 8 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean Val: %g", STATS_mean )
stats "tmp.dat" u 9 nooutput
plot "tmp.dat" u 9 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean Val: %g", STATS_mean )
stats "tmp.dat" u 10 nooutput
plot "tmp.dat" u 10 w boxes lc rgb "blue",\
STATS_mean w lines lc rgb "red" title gprintf("Mean Val: %g", STATS_mean )
unset multiplot