1.How to submit to our dept/unit (Human Resources) the quality objectives?
Your organization defined some quality objectives and you need to deploy them to the HR department. I would start by a presentation from top management communicating to all what are the quality objectives and why are they important for all. Then, I would meet the HR manager to work with him or her around the question: how the HR team can contribute to meet these objectives. For example, a quality objective like "Reduce delivery delays by ..." may be helped through reducing absenteeism. Can HR assume a departmental objective to reduce absenteeism? If that is the case do not forget to include how much the organization saves (or not lose) by reducing delivery delays and absenteeism.
2.How to submit to our dept/unit (Human Resources) the internal & external risks that can affect the intended objectives of the dept/unit quality management system
Start with the intended objectives, I always recommend starting from there when determining risks and opportunities. What can be seen as a promoter of friction against meeting the objectives? Those are the risks.
What could undermine your intention of reducing absenteeism? You can call a team and develop a brainstorm, perhaps using a cause-effect diagram to develop a list of possible risks.
After listing those risks evaluate them.
The following material will provide you more information about quality objectives and risks: