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So don't worry so much about how to use  had had  as a unit of grammar, they will come together naturally when you want to express the verb ' to have ' in the past perfect. Let's consider a different verb for a moment like  to want .
Have came and had came are completely wrong, because came is the past tense form of come and cannot be put after have or had. So #1 and #2 are incorrect. Have come and had come are right alignments as English phrases but have come (present perfect) better fits to your context. So my choice is #4.