Neither sentence is grammatical English or something that a native would typically say, so it is pointless to argue over what they might mean. I don't see a reason to correct them differently.
“*This would not have been happened” is a passive construction. But happen is not a transitive verb, so it cannot be used in the passive voice. It is likely that the author of this sentence intended to write “This would not have happened”, i.e. the event mentioned previously would not have taken place.
In addition to the previous defect, “*this would have not been happened” is incorrect because the negation cannot be placed where it is. The negation word not is normally placed after the first auxiliary: “this would not have …”.
Furthermore, the second part of the sentence is in the wrong tense. “This would have happened” is a past conditional. The part of the sentence introduced by if is a past hypothetical. It needs to be in the past tense because the time of the action is in the past; in addition, the hypothetical aspect is expressed by a past tense, which means the verb needs to be in the pluperfect tense: “if you had not been there at that time”.
A correct sentence resembling these two incorrect sentences is
This would not have happened if you had not been there at that time.
I can't think of a correct sentence with a different meaning that could be what the author was trying to express.
The second is ungrammatical. It should be The bodies were sent to the hospital.
The difference between the first and the corrected second sentences is that the present perfect in the first suggests some present relevance of the sending; the second merely locates the sending in the past.
In the newspaper article you linked us to, the detective is speaking of a very recent action, and suggesting that the bodies are still at thei destination.
Best Answer
Your first sentence should be:
We are in love, and we have been for eight years. ["have been" is Present Perfect and it means an action (your falling in love with each other) began in the past and continues to the present (you both are still in love with each other)]
The second sentence should be:
We were in love for eight years. [were is past tense (I was, they were, we were,etc.) and the past tense means an action started and ended before now. After eight years, your love for each other ended.]