I can tell you this much with certainty- "Were" cannot be used instead of "would" in the last line. I am absolutely sure of that. However, I don't think I can explain the "why" part clearly.
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MFarooqI did tell I "WOULD" be carefulPresent point of view: (I'm telling you that) I will be careful.
MFarooqSo, the dialogue could be like that " I did tell you that I was careful"?Yes, if that's what you mean. "I would be careful" is one thing. It's like a promise was made. "I was careful" is another thing. It's a fact about what happened. Both can go after "I told you". Which one do you mean? Use that one.
MFarooqAnd instead