Thank you, Diana! Let me make some corrections:

1.I am losING things.

Tom said(that) he was losing things.

2. I (am) lose things every day.

Tom said(that) he lost things every day.

3. I lost things yesterday.

Tom said (that) he HAD lost things THE day before.

4. I have lost things for 6 years.

Tom said(that) he had lost things for 6 years.

5. I had never lost things.

Tom said (that) he had never lost thingS.