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They're all correct, but past perfect continuous is the most natural between 2 and 3. The difference is really super subtle in this context. Past perfect continuous has the sense that the hiccups are an ongoing thing, past perfect implies a sort of completion. Like maybe it had been playing up for some time, you got really mad and turned it off and stopped using it. Then a week later you took it to the shop, because it had played up for some time. But you'd still be most likely to use continuous there, because being broken is a sort of continuous state and it's still broken even if you aren't using it.

Using "for some time" here makes the meaning so clear that it sort of overpowers both tenses, if you know what I mean? They both mean pretty much the exact same thing, it just comes down to whether the speaker wants to emphasise a boundary between the playing up and the taking to the shop. Are they happening in the same "chapter", or was it playing up in a previous "chapter"?

But 3 is definitely most natural. If in doubt pick that one for anything like this.