Just from skim reading (bear in mind I only skim read, so can't comment in the greatest detail) I would say that your literary analysis is good.
What's lacking from the writing to pull up your grade is a clear sense of a strong argument that goes through each paragraph. I think there is also a tendency to say what is involved, without linking the AOs together. As a side note, write in the present and always address the author/ playwright as consciously using a literary device to have a certain effect.
Because that's not super intuitive, here's an example from an essay I wrote that received an A*:
"Whilst it may at first appear that in Othello, Venice is a liberal tolerant landscape, Shakespeare arguably reveals that this liberalism is only “skin-deep”. Although the audience understands Iago to be a scheming stage Machiavelli, his monstrous imagery of Othello and Desdemona creating the ‘beast with two backs’ could illustrate the prevailing miscegenation of Shakespeare’s time where mixed race ‘consumption’ was seen as a horrible act."
The first sentence exposes the main argument I have for that paragraph - that the supposedly liberal landscape of Venice is superficial. The reference to stage Machiavelli and miscegenation (AO3 context) link with the monstrous imagery (AO2 writer's methods), and both context and method are addressed in that opening.
Then I continue with some literary analysis, much like you do in your essay sample:
"This is also illustrated in Desdemona’s presentation of her elopement as a ‘divided duty’ to the Senate; she, through legalistic language, must portray her ‘downright violence’ as a duteous or noble act in order to appeal to racist Venetian society. Perhaps the most convincing evidence of this false liberalism comes from Brabantio’s attitude towards ‘the Moor’. Othello recounts that Desdemona’s ‘father oft invited me’, which mixed with the animalistic foreign imagery of ‘Anthropophagi’ suggests that Othello - despite being a military general - is nothing more than an exotic guest. This invitation of course contrasts greatly with Brabantio’s hyperbolic and emotive language - an aspect of his comic role as the stock deceived father - when he describes Desdemona and Othello’s potential marriage. After Brabantio claims that this woe ‘engluts and swallows other sorrows’, the senators ask whether Desdemona is dead."
Note the use of analytical, decisive language 'arguably', 'could be', 'perhaps the most convincing evidence', 'suggests that', 'contrasts greatly'. This builds a sense that this is leading towards an argument.
"This not only enables a faintly humorous tone but may also suggest that his racial hatred is extreme in nature and more deeply rooted than first appears."
This serves as a bookend in this paragraph to highlight what my argument is and what I have concluded from the analysis I've done in that paragraph.
I don't think my example is perfect (it was an A*, but it was not full marks) and I don't think that there is one exact way to write an A* English essay. It's not intuitive and it took me a while. One main element is to always be analytical and discerning, and to use your points to back up a believable argument.