I'd like to describe a situation in the past. Not sure which one below makes more sense.
Everything looks okay to me. I don't think we had this issue in the past.
Everything looks okay to me. I don't think we've had this issue in the past.
Have had is the past perfect form of had.
The English past perfect tense is complicated to explain, but a simple heuristic that applies here can be used.
If you are going to say We've X Y, where Y is one of these words/phrases or something similar:
before, previously, recently, "that I can remember", "since X", "until X"
you use past perfect. You would also use past perfect if one of those words could fit but isn't actually expressed. By not expressing it you are leaving open that one of the above could apply.
Everything looks okay to me. I don't think we've had this issue in the past [that I can remember].
The first sentence with "had" is in the past tense. You use past tense for something that occurred in a known time in the past, which is not the case here.
The second one, with "have had," which is correct, is in the present perfect tense, which describes an event that has occurred in an undefined time in the past and is still relevant now.