Does any one know what is going on here and is it safe to open the hood and look inside when power is disconnected, when you have zero experience ?
You can but with zero experience what do you expect to see?
Truth is without considerable experience you'll see nothing.
There are a few things that can bite even powered down and from what you describe there may be nothing wrong with it only the way you're using it.
Oldway's advice is sound, RTFM.
Basic manual advice will include nominal settings to observe a waveform, the best to play with initially is the 1 KHz square wave from the probe calibration output.
After becoming comfortable with the cal output then a low voltage AC, say from an AC wallwart (never straight mains) will give a sinewave.
Just printing the basic setting part of the manual is handy for scope newbies like you.
Enjoy and be careful.
BTW hunt out Daves vid on "how not to blow up your scope"