The Online Safety Act and Hate Crime Provision have extended these somewhat into the realms of 1984. But the police do tend to use them sparingly.
This is categorically untrue.
> a person is guilty of an offence if he—
> (a)sends by means of a public electronic communications network a message or other matter that is grossly offensive or of an indecent, obscene or menacing character; or
> (b)causes any such message or matter to be so sent.
I suspect the former is also true, but am not well-read in that area