Loud Fan and Blue Screen

I have a relatively new Inspiron which has not sounded right since it came out of the box. Initially, Dell sent me a box to return it for repairs, but due to life circumstances, I missed the deadline for that return. I just ran an online Dell diagnostics and it says my laptop is fine. It's not.

1) I repeatedly get a Windows blue screen that says Windows was not installed properly. (I did not install anything--it's been like this since it came out of the box.) This happens all by itself--namely, I don't use my laptop for hours, come over to use it, and there's a blue screen.

2) The fan is very loud and the laptop is hot. I am only searching the internet. I am not gaming, creating anything or doing much of anything and the laptop is loud. Even during the diagnostic test, I took my phone and videotaped the test because the fan was so loud. I've had other Dells and they have never acted like this. 

Any help would be appreciated. I really can't stand using this laptop--I'd rather use my old one. Ugh. 

Thanks.