Hold on, you had to do binary surgery using an OpenSSL version from an old box you had? I salute the dedication.
Also, if it was statically linked, he wouldn't have that one problem. (Could have others, but not that one.)
``` ldd your-binary ``` on the old host and then copy all the thing that is referenced, put into ./foo and then start like so on new host: `LD_LIBRARY_PATH=./foo ./your-binary`. (may include typos, from memory)
A great tool for this used to be https://github.com/intoli/exodus - not sure if it still works.
Disclaimer: Also please don't do this with network-facing services, security applies, etc.pp. but it's a good trick to know.