Option A: 'Damaged' means 'an injury or harm that has reduced its value or usefulness'.
The meaning is relevant to the given sentence: the speaker wants 'these things' to be packed and secured so that they don't get damaged or harmed.
Hence option A is correct.
Option B: 'Hurt' means 'to suffer mental or physical pain'. 'Hurt' relates more to emotions and humans. It does not relate to lifeless objects: 'these things' cannot be 'hurt'.
Option C: 'Stolen' means 'to be taken away without permission or right'.
Option D: 'Healed' means 'to recover or be restored to health'.
These words do not complete the sentence in meaning: packing those things wouldn't prevent them from getting 'stolen' or 'healed'.
Hence options B, C and D are wrong.