Those two had severe pre-existing allergies (to the point where they carry epi pens), and had non-fatal reactions to the vaccine.

If you’re in the 0.1% of the population with severe allergies, you should skip most vaccines. Herd immunity is a thing, and (most — probably these) vaccines will protect you by making the people around you stop spreading it.

If you’re in this category, you’d have already been told so by your doctor.

If they were “said so by their doctors”, how come they still were injected by the doctors?

Also, most people carrying epi-pens don’t know full severity of their allergies since there is no way to test it.

No your final point isn't true. These people were administered the vaccine by their doctors. The simple fact of the matter is that this vaccine hasn't had rigorous testing like other vaccines hence them finding out new information about after it's been administered