JobRoller is designed to take over all functions on a website so any things that BPS or BPS Pro are doing that JobRoller does will not work. I believe the idea/concept of JobRoller is that it is supposed to handle everything and if you try and install other plugins that do things that JobRoller already does then most likely those plugins will not work or worse – trying to use 2 plugins or plugin features that do the same or very similar thing can cause both plugins to stop working/cancel each other out. Plugins and Themes use WordPress “hooks”, which are actions and filters that WordPress has created. If 2 plugins or themes or a plugin and a theme are trying to call the same hooks then either 1 will override the other or they will cancel each other out.
So if you are using any of the BPS / BPS Pro features listed above that do not work on JobRoller then turn all of those things off in BPS / BPS Pro. JobRoller is the only known incompatible plugin or theme with BPS and BPS Pro.
If you are using any other plugins that do anything with email or posting then deactivate those plugins and see if the JobRoller features/functions work. The general idea is JobRoller is designed to do everything and you should probably not install any other plugins that do anything that JobRoller is already doing (login plugins, captcha plugins, form plugins, contact plugins, plugins that do any sort of emailing functions, etc) if you are using JobRoller.