I need a little help
 

Hello. I would like that someone could correct me. As a way of practice English I'm translating some short and random texts from electronic newspapers. I appreciate all the corrections and advice. Thank you.

They refused to vaccinate their newborn son and the Justice obligated them: "its consequences affect third parties", says the verdict.
Under the argument of supposed side effects on the baby's health that included the "danger of sudden death", a couple opposed to the application of the vaccines against the Hepatitis B and the BCG to the minor. It was disposed "the compulsive vaccination of the baby".
(Source: infobae)

Welcome to the forums.

I've included corrections and alternate wording below.I wasn't able to compare what you wrote with the source, so had to guess at a few things (in purple).
If you provide the source text, it would make things more easy. ;)

@Rusty
Thank you very much for the welcome and all the corrections :)

From now on, I'm going to include the original text at the end of my posts. Again, thank you very much.

By the way, this is the original text from where I translated.

[Se negaban a vacunar a su hijo recién nacido y la Justicia los obligó: "sus consecuencias afectan a terceros", dice el fallo.
Bajo el argumento de supuestos efectos secundarios sobre la salud del bebé que incluían el "peligro de muerte súbita", una pareja se oponía a la aplicación de las vacunas contra la hepatitis B y la BCG al menor. Se dispuso "la vacunación compulsiva del bebé".]

You're welcome.

peligro de muerte súbita (del lactante) = SMSL = SIDS, in English (Sudden Infant Death Syndrome)