Salmonella

You cook them, solved.

High choleserol

You don't base your diet on 100% eggs, limiting your diet to any one food will be damaging regardless.

Prostate cancer

Sure, higher risk, from what baseline? Varies massively per-person, and people's risk-tolerance is subjective... Personally I don't really care.

Diabetes

Again, significantly higher chance, from what baseline? 0.02 is 100% higher than 0.01, misleading.