Dear Mini,
Answering the second question first. 1. Maintaining all the records associated with H&S. 2. Inspecting the facility for compliance. 3. Performing training Depending upon the facility, there are a whole host of tasks which must be done to ensure a safe workplace.
First question. - Step one - Write down all the tasks you must perform to ensure compliance. Brainstorm and go back to old records. Step two - Consolidate the list into something reasonable. Step three - Get with your new boss and let them know what is happening. They are also on the hook for the safety in the plant if something goes wrong. Especially, if there is someone on site above him.
With respect to the vibe, try "I don't think that falls under my current duties, let's talk to ______ and see who it belongs too." and go with them. You'll be able to defend your position that it is not your task and be helping them find the correct answer. Sneaky.
Finally, you need to find out what "additional" tasks you former boss did. Since he retired, call him and ask. He should be willing to help and provide some guidance.
MikeCJ