When you repeat the stuff that people tell you, it's normal in everyday conversation to keep the tenses the same.
For example: Yesterday I was in the bank. I met an old friend of mine, Alan, who I hadn't seen in ages. Here's part of our conversation:
Me: Hey Alan. I haven't seen you in ages. What have you been doing?
Alan: You wouldn't believe it, man. I lost my job, I broke up with my girlfriend, and my house has been robbed.
The next day I meet a mutual friend of ours, Bill. I want to tell him about Alan. Here's what I say:
Me: Bill, you'll never guess what. I was talking to Alan yesterday and he told me he lost his job, he broke up with his girlfriend, and his house has been robbed.
Bill: You're kidding.
In this example I'm keeping the tenses in the Reported Speech the same. This is done in informal conversation. It gives a sense of immediacy, puts you in the action, dramatizes it. However, I could also say this:
Me: Bill, you've got to hear this. I talked to Alan yesterday and he told me he had lost his job, he had broken up with his girlfriend, and his house had been robbed.
Bill: I don't believe it. That's terrible. Poor Alan.
In this example I have shifted the tenses back. This is more formal and gives the conversation a more serious feeling. When writing you should use the "shift back" approach, but you have an alternative in conversation.