You know that there are many software tools for chess problems.
You may find information here http://www.wfcc.ch/software/
In order to create position images and a file for your problems, there is Fancy.
It is copyrighted (C) by Marek Kwiatkowski.
I have version 2.81, you may look for a newer edition.
In order to solve problems, Fancy can use the software tool Popeye.
Mr Thomas Maeder is looking after it.
He has recently announced the version 4.73 : github.com/thomas-maeder/popeye/releases/tag/v4.73