iPhone Hot spot password not mine & hacked

What are the details of these “my phone acts and shows signs of being compromised or hacked and have had issues in past and people using my Wi-Fi that shouldn’t be.” references?

What is the battery health of this iPhone? Settings > Battery > Battery Health & Charging

A strong generated password is normal for HotSpot. Being disabled, HotSpot will not be accessible. If you want the HotSpot capabilities entirely gone, talk to your carrier.

If HotSpot is disabled, then whatever Wi-Fi you’re referring to as potentially compromised is seeming7using some other Wi-Fi hardware unrelated to iPhone. Not your iPhone.

iPhone 11 will shut off the screen unless configured with the ill-advised “never” display setting. Ill-advised due to the possibility of display burn-in. Details: Keep the iPhone display on longer - Apple Support

Your footer indicates an iPhone 11 running an older iOS version. if you are concerned about security, consider running the most current iOS version.

Other steps that can assist with security and privacy: Personal Safety User Guide - Apple Support

If you believe you are a potential or actual target for Pegasus or other similar (and immensely-expensive) espionage tooling, you are far beyond the sort of assistance that can be offered around here, or by Apple, and will need specialized and tailored assistance with your particular activities, exposures, risks, and data.

Unless you are a high value government official that another agency would be willing to spend a $500,000 dollars or more to monitor your communications, then I would not worry about Pegasus. There is no virus scanning tool available and as long as you have not jailbroken your phone, there is no active exploit in the wild that it could be infected with. You may remember that case in SF where the FBI wanted access to a persons phone and were unable to access it. They even tried to force Apple to get into the phone. You can bet that if the FBI is unable to access your phone and they want information on you, they will be getting a warrant for your location from your cell provider as well as following you around.

The more likely cause is from an account that has been compromised. In this case you will want to change your Apple ID Password and Passcode on your device. There are many phishing emails/messages that try and get your Apple ID and Password. With that information, they can lock you out of your own device. I have including the Support Article relevant to these phishing messages and how to report them along with the article on what to do if your account is compromised.

Recognize and avoid phishing messages, phony support calls, and other scams - Apple Support

If you think your Apple ID has been compromised - Apple Support

If you want to provide specific information on what issues you are seeing that lead you to think your phone is hacked, we may be able to provide more specific solutions. If you are on iOS 16, I would recommend updating. With your screen shutting off automatically, even though you say the battery is fine, we would need to know what the Maximum Capacity is. If you have not replaced it yet, it most likely is coming close to the time it will need to be replaced.

Your Wi-Fi is presumably in your home, and hacking it has absolutely nothing to do with your phone, and is unrelated to your personal hotspot or your iPhone. Wi-Fi routers are certainly susceptible to being hacked, especially if you don’t keep their firmware updated regularly. But a hacked Wi-Fi router will not put your phone at risk.

An interesting thing about an iPhone (or any device) that has been hacked; the hacked device will have absolutely no symptoms of having been hacked. So if your phone is doing things that don’t seem normal it is almost certainly NOT because it was hacked.

Nothing you describe is even remotely related to a virus (there has never been a virus on any iPhone).

What is possible is that your Apple ID may have been hacked; if it was the easiest way to fix it is to reset your Apple ID password→Change your Apple ID password - Apple Support, and also see this→If you think your Apple ID has been compromised - Apple Support.

Regarding the symptoms on your phone, how are you sure it isn’t a battery issue; what you describe sure sounds like a battery that is on its last legs.