Notebook Operating System and Recovery

Hello people,

I bought a hp laptop a month ago..........it has windows 10 pre installed.

Recently, Windows 10 installed and restarted my new HP Ryzen 3 after an update to the os. Since then, my laptop desktop background turned black. Start button, taskbar is not responding. Opening my computer showed a messgae "Explorer.exe error..........an attempt was made to reference a token that do not exist". I was able to open only chorme, firefox and qbittorrent (which were present on my desktop). NO windows applications are working. They showed the error"class not registered". So I restarted the pc from lock screen(holding shift).

I entered the advanced boot and chose the HP Recovery manager. I selected to reset my laptop to the factory settings. I selected "do not backup" option  which erases all data on hard drive and resinstalls windows using the original image.

Then this misery happend............!

The process formatted my entire hard drive and when it is going to reinstall windows, a blue screen appeared saying "pc ran into a problem and we need to restart".

After this restart, I see this screen.........saying

"Boot device not found

Please install an operating system on your hard disk

Hard disk(3F0)

............"

I ran the system diagnostic tests........my laptop passed both memory and hard drive tests.

I also set the BiOS settings to default. But no luck.

Now my questions are...........

1) If I clean install windows 10 using a bootble device, do I need to enter the product key? (Because, I don't have one).

2) What about system drivers?

3) If I install operating system on my own, will it effect the warranty of the product?

4) Will HP repair my system and bring it back to normal for free of cost?(My warranty is active)