Unfortunately, the issues you are experiencing are symptomatic of an internal hardware defect, meaning a faulty front panel assembly or logic board. This issue could be a manufacturing defect, but is also often caused by a power event (shock/surge, prolonged over/under voltage condition, etc).
There is one step you can take here, both as a possible fix, as well as a diagnostic evaluation
unplug power at the wall outlet
wait 5 minutes
press and hold the power/on button for 60+ seconds
keep holding while plugging back in, and for another 60 seconds after, then release
If this reset process does not work, it would unfortunately confirm an internal hardware failure.
This is something that would require repairs to correct; at that point you will want to call(###) ###-####and file a claim with HP to have them replace it under warranty.
My apologies for the (likely) bad news.
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