Strange. They were in the main, pro Labour before the election. I wonder why they might have turned on him? Perhaps it could be something to do with what he's said and done? Just a thought.
The Daily Mail, Daily Express, Times, Daily Telegraph, and Sun cannot be remotely called Labour papers. They have been pro-Tory since Adam was a lad. They occasionally put in a bit of 'balance', normally when a Tory government is so fucking dire it becomes indefensible, but they are essentially Tory in outlook.
The Guardian is sort of leftish, but it hated Jeremy Corbyn with a passion. It's more Liberal, indeed that is its tradition. It does tend to support public services though, at least on the surface and can get very hissy about anything it sees as an 'injustice'.
The Daily Mirror is right-wing Labour. It's the nearest to a Starmer paper we have, but it's very 'popular' in its approach. You don't get a lot of complicated analysis there.
The Morning Star, which has a circulation of about 12, is Communist in sentiment, though it tends to support the Labour left.
I wouldn't go so far as to say that whatever Labour did most of the press would be on their backs. But most of them are inherently critical of Labour. They will leap on things they would barely have touched on if the same thing had been done by a Tory government. For example, we have all this talk of Starmer's gifts. When Johnson was trousering (literally) millions it was barely mentioned in most of the press. Labour is held to a higher standard.