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1. The power cord above the picture is applied to the AC mains, the production requirements will be stricter, generally speaking, it is not easy to break, from your description, the more likely reason is that the output plug of the adapter is loosened and the contact is poor;
2. You can directly replace the power cord to check whether it is a problem with the power cord, so as to troubleshoot.
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It can be changed, as long as the mouth is right.
If you can charge it, you don't have to change it.
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Did you get the input plug off?
It seems that there is no in-ceiling speaker, is the speaker you said marked with such words? If there is, it means that this is a constant pressure ceiling, it is easier to route the wire, one by one, the bar audio can be strung together, one thing to note, the power amplifier must also be a constant pressure power amplifier so that the two can be used together.