The “ Arrastre” theory.

Usually, the first letters of most words in a principal title are capitalised.
The "Arrastre" Theory.

Every person has their own way of thinking, feeling or living.

This sentence shows correct usage.

In informal writing and speech, the word "their" is accepted as referring to the 3rd person singular, his, her and its, as well as representing the 3rd person plural. However, in more formal writing, a writer may wish to avoid the seemingly illogical use of the grammatically plural "their" with the grammatically singular subject. In that case, the writer can use his/her or s/he. For example, "Every person has his/her own way of thinking, feeling or living". The alternative is to use a plural subject, for example "All people have their own way of thinking, feeling or living."

Some people get a bit upset when they see a sentence like yours because they feel it does not make grammatical sense! However, in the absence of a gender-neutral word for the 3rd person singular, "they" is here to stay! Even famous authors, including Jane Austen, have used "they" to represent the 3rd person singular!

However, the major part of the people give this up because they prefer to be accepted in a group, under social rules.

Consider: "However, the majority of people give this up because they prefer to be accepted in a group, under social rules."

For example, people act different when they are alone, that when they are with their bosses or in public.

Consider: "For example, people act differently when they are alone, from when they are with their bosses or in public."

The word "differently" (an adverb) describes how people act.

This behave is a survival decision, due to it is easier to live in a community.

Consider: "This behaviour is a survival decision, due to it being easier to live in a community."

When we are in association we can achieve divers resources, like, protection, food, medical treatments, acceptation.

Consider: "When we are in a community, we can obtain more easily certain diverse resources like protection, food, medical treatments and social acceptance."

But, when you are outside the group rules, you can receive a punishment or even the exile.

Consider: "However, when we are outside a community's rules, we could suffer various disadvantages including punishments and even exile."

Best to avoid starting a sentence with "but" unless there is a good reason for using it so, for example for effect, or stressing a point. The subject of your previous sentence is "we". Therefore, continue with "we" rather than "you".

Independent if you agree or disagree with the arguments of the anti - vaccine people.

I'm not quite sure what you are trying to say here. Sorry!

Do you think that, the loss of jobs, rights or benefits; spaces restrictions; movement limitations; arrests; public embarrassment it is an example of the consequence of going against society rules and the reason because the major part of the people prefer to live in “Arrastre ” theory?

Consider: "Do you think that the loss of jobs, rights or benefits; space restrictions; movement limitations; arrests; and public embarrassment are examples of the consequences of going against society rules? Do you think that the wish to avoid these adversities is the reason that the majority of people prefer to live within the ideas of the “Arrastre ” theory?"

1. Your sentence is a good attempt at providing as much information as possible in a single sentence. However, your sentence is very long. The longer the sentence, the more crucial it is for a writer to use punctuation and sentence construction as accurately as possible. It is best to break up long sentences if possible (as in my example). This aids reader understanding.

2. "... and the reason because ...". There is no need to use "reason because". Just say, "reason that".

Is it fair this kind of punishment for expressing a perception, fear or believe regarding a topic against mainstream?

Consider: "Is it fair that people who express a personal perception, fear or belief regarding a particular topic should receive these sorts of adverse consequences?"