generally speaking perl is perl wherever it runs, so you should be able to run your programs almost everywhere (there are OS specific but it is not your case). Strawberry can compile and install everything on cpan, so no incompatibilities.

Your question lacks of details and so answers cannot be more detailed.

The real problem is your old web application and if it is not too complex I suggest you to rewrite it using a modern perl web framework like Dancer2 or Mojolicious: a bit of effort to learn them but a great advantage for future maintainence and security.

Mojolicious has nice guides.

L*