Is/was statements re an ended situation or a continuing one.
In Speech
A) The is/are/am works if the situation continues to be true.
B) The was/were works also, if it does not.
Context is crucial:
A) I told them, "This watch is the fourth one I got for my collection." [general statement about which number watch this is for you]
B) I told them, "This watch was the fourth one I got for my collection." [but now you have more watches]
Indirect speech
A1) I told them this watch was/is the fourth one I got for my collection.
The same idea as above applies.
reported speech and past versus present tense
Assume that Kim has blue eyes, and that Tom knows that. And then Tom
tells me,
"Kim has blue eyes." Then I can tell you,
"Tom told me that Kim had blue eyes." which has backshifting. Or I can
choose to not use backshifting,
"Tom told me that Kim has blue eyes." Both versions are fine. Note
that Kim's eye color is assumed to be a permanent sort of thing.
[bolding mine]