The new chain (shimano) is being throw off the bottom jockey wheel, and runs off the wheel. I cant see that anything is bent, and have cleaned the wheel and bushing. The new chain runs OK on the cassette and front chainring.
Thanks to the OP for posting photos (see edited OP).
We can see that the chain is the correct length. We can assume that the new chain is a 6/7/8sp one, correct for this
Carrera Subway 1 8sp drivetrain.
I'm not sure that the symptom is being fully described. What do you mean by 'the chain being "throw[n] off the bottom jockey wheel? The chain comes in on the return from the chainring and runs directly to the guide jockey wheel. Presume you mean that the chain is bouncing around (?bumpy terrain) and the jockey doesn't collect it as normal (but not a symptom with the old chain).
Does this happen with the chain on each of the three rings? More on the small sprockets than the large ones? While riding along (assumed)? Or is this with the bike upside down or in a stand?
Finally the guide jockey wheel looks misaligned on the 'behind' image attached to the OP (but not clear how that could generate the symptom described(ish).