Why use encryption?
Most often, to keep secrets. Everyone has a need to keep some things secret. The operating system has secrets it needs to keep away from users, users want their credit card details kept secret and away from hackers, everyone wants their financial and health affairs secret, and, sadly, it appears that even today people still need to keep their religious persuasions secret.
It is unfortunate, but the need to keep a wide variety of information secret also means that people can also use encryption to keep secret things that society has decided are unlawful, such as the plans to rob a bank.
Encryption technologies also have other valuable capabilities. Any attempt to falsify the content of an encrypted message will cause failure during decryption. This was not the case with the CAESar cipher, where each letter was transformed separately from every other letter, so altering one or more letters might well not be noticed by the recipient. But modern mathematical systems are such that it is highly unlikely that anyone could change even one element (usually called a bit or binary digit) in an encrypted file without causing everything from that point onwards to be turned into gibberish.
Further, encryption can be used to detect if information has been changed or corrupted, whether it is actually encrypted or not. And this can be very valuable if you cannot encrypt the information itself but need to be able to show that it is correct. This technique is commonly used to verify computer applications software that has been downloaded from the web.
So encryption is used for keeping secrets, preventing information falsification and verifying that the information received is the information that was sent.