Please, which is the same or which is correct?

The car is my favourite means of transport. That's why I drive everywhere= I drive everywhere since the car is my favourite means of transport, = I drive everywhere due to the car being my favourite means of transport. creo que tienes que usar el gerundio en este tipo de construccion.  el tercero es un poco, solamente un poco, raro. todos funcionan.  Pero si dices "due to the fact that...." entonces due to the fact the car is my favorite...

2.- Any house may get burglarized  in the event I have set an burglar alarm. OR IN CASE?no tiene sentido      Any house may get burglarized even if it has a burglar alarm.   In the event someone tries to break in, the alarm will go off. "in case" puede funcionar pero "in the event"es mucho major aqui
3.-The burglar alarm burglar will go off and ring loudly in case if there is a burglar-
6 They have set a burglar alarm burglar as they dont want to suffer a burglary at home.= in order to not suffer a burglary at home/ or so as not to suffer...correcto, todos son buenos
7.-There has been a crime. The police are here= The police are here that's because there has been a crime or the police  are here; there has been a crime that's why the police are here.
8.The criminal is very intelligent. However the police discovered/found him= DESPITE THE FACT THE CRIMINAL WAS VERY INTELLIGENT THE POLICE.... IN SPITE OF BEING AN INTELLIGENT CRIMINAL, he was caught by the police.  La frase "in spite of being an intelligent criminal" necesita estar al lado del substantive al que se refiere (aqui, "he").  No debe estar a lado de "policia." por eso, lo cambie. O puedes usar el cambio arriba escrito por Katie; tambien esta bien.

 veo en el dicionnario que ambos to burgle to burglarize existen. El Segundo me suena mas natural.

 

Please, wich is the same or wich is correct?

The car is my favourite means of transport. That's why I drive everywhere= I drive everywhere since the car is my favourite means of transport, = I drive everywhere due to the car is my favourite means of transport.

You could say: Cars are my favorite means of transportation; that's why I drive everywhere. Or: I drive everywhere because cars are my favorite means of transportation. It's best not to use "due to" here.

2.- Any house may get burgled in the event I have set an burglar alarm. OR IN CASE?

I think you mean: Any house can be burgled, so just in case I have set a burglar alarm. If that's what you mean "in the event" doesn't work.

3.-The alarm burglar will go off and ring loudly in case if there is a burglar-

The burglar alarm will go off and ring loudly if there is a burglar.

6 They have set a alarm burglar as they dont want to suffer a burglary at home.= in order no to suffer a burglary at home/ or so as not to suffer...

They have set a burglar alarm because they don't want to suffer a burglary at home. OR: so that they don't have to suffer a burglary at home. OR: so as to not suffer a burglary at home. 

7.-There is been a crime. The police is here= The police is here that's because there is been a crime or the police is here that's why the police is here.

There has been a crime. The police are here.

You can connect these by saying either:

The police are here because there has been a crime.

There has been a crime so the police are here.

8.The criminal is very intelligent. However the police discovered him= DESPITE THE FACT THE CRIMINAL WAS VERY INTELLIGENT THE POLICE.... IS SPITE OF BEING INTELLIGENT THE POLICE DISCOVERED THE CRIMINAL.

The police discovered the criminal despite the fact that he was very intelligent.
The police discovered the criminal in spite of his intelligence.

Despite the criminal's intelligence, the police discovered him.

In spite of the criminal's intelligence, the police discovered him.