First convert to PDF the complete file with whatever tool you prefer. (For quality output I would not use ps2pdf
which is only a shortcut to run a fully fledged Ghostscript commandline. I would use the appropriate Ghostscript commandline directly, because it gives greater and direct control over all the parameters used. But it needs some GS expertise to use...).
Then, to extract the second page only, you have two options:
pdftk
(PDF ToolKit from here)
gs
(Ghostscript from here)
pdftk commandline:
pdftk \
A=/path/to/input.pdf \
cat A2 \
output /path/to/page2-from-input.pdf
gs commandline:
gs \
-o /path/to/input.pdf \
-sDEVICE=pdfwrite \
-dFirstPage=2 \
-dLastPage=2 \
/path/to/output.pdf