Explanation:

Correct: Drug resistance can pose a challenge to food security, particularly in the context of antibiotic resistance in agricultural pathogens.

Correct: Drug resistance, especially antibiotic resistance, can make common diseases untreatable and make lifesaving medical procedures riskier.

Incorrect: Drug resistance cannot be effectively or sustainably managed by simply using more powerful antibiotics. In fact, overuse and misuse of stronger antibiotics can contribute to the development of resistance.

Therefore, statements 1 and 2 are correct about drug resistance.