Question 1: If the prompt doesn't explicitly mention the audience, can we tone down the references to them? My English teacher is adamant you have to mention the audience in your essay and he scared me into going a little overboard, admittedly.
If you're teacher's a fan, then maybe do it once per paragraph in your SACs. In the exam though, you don't want to have it be a 'token' thing you bring up once every few lines or so. It's kind of like how people will write these generic background sentences for the start of their intros like 'Written in an epoch of patriarchal dominance, Euripides' Greek tragedy
Medea...' and will use it every time, even if the prompt is like 'How does Euripides show the dangers of a lack of effective communication?' In general, commenting on the audience is technically a part of the criteria, and you can absolutely talk about their interpretations (esp. comparing an Ancient Greek understanding with a modern day one) so long as you don't get too far away from the text. But the prompt is your focus, so don't overdo the audience statements if you feel like they're not adding anything to your contention/discussion.
Question 2: When we're writing text responses, should we devote a paragraph to each character and do it like that? Is there a definitive structure we should be following? I've got a maths brain so I'm trying to find some formula to writing essays (ALL of my previous teachers supplied us with this rigid formula we had to follow and now that we don't have one, I'm a little scared). Or do we go based on themes? Or do we just wing it?
Themes > Characters! In terms of paragraph structures, that is.
For
Medea, it's a little messy to just have one paragraph for Medea, one for Jason, and then one for... the others... incl. Glauce, Creon, Aegeus, the Nurse... whoever's relevant. Also, you instantly limit your discussion; if the prompt calls for you to discuss Medea's character in more detail (which a lot of prompts do) or if you should be comparing characters, then the whole structure falls apart.
Instead, you could go for something like:
Medea's sense of justice is warped by the society she lives in. Do you agree?Contention: Medea's notion of right and wrong is moulded by her society, and although she struggled against these confines, ultimately this makes it hard to apply objectively moral judgements to her actions.
P1: Societal influence --> Medea's worldview was largely the product of her social standing, though she acquires a more holistic understanding as the play progresses.
P2: Subjectivity of justice --> The justifiability of characters' actions, particularly Medea's, is muddied by the cause and effect chain of events that lead to the tragic end result.
P3: Medea's priorities --> Over the course of the play, Medea's values and intentions shift in accordance with what happens around her.
^I've given some indication of potential topic sentences here too because it's not like we're going for a super-simplistic breakdown like:
1: Society
2: Justice
3: Priorities
Good arguments are more complex than that, so if each paragraph has a clear, logical link between its focus and your contention, you should be fine

Question 3: So when we're writing a text response, does there have to be some form of chronology? i.e. address stuff that happened in the beginning of the story in the beginning of the paragraph/essay and conversely address the ending towards the end of your paragraph/essay?
Sort of. It just comes down to your logic. If you make a statement like 'Medea's actions are unnjustifiable' prior to actually explaining her actions, it's a little bit weird for your reader.
Compare the following:
1) Medea's actions are unjustifiable and are perceived by the audience as being in stark contrast to what they would consider moral and sensible. When she kills her children, she is motivated by jealousy and a desire for vengeance.
2) Medea's act of filicide is motivated by jealousy and a desire for vengeance; as such, it is perceived by the audience as being in stark contrast to what they would consider moral and sensible.
(Note: this interpretation isn't really valid, but I'm giving you a fairly simplistic/ non-legitimate argument so that we can focus on the structure instead of the content.)
It's clear that Example 2. has a more logical progression from [thing in the text]-->[reasons for it occurring]-->[audience's response] as opposed to Example 1's [interpretative statement]-->[event from the text]-->[motivating force].
So it's not like there's some moratorium on analysing in the first half of your paragraph or bringing up new evidence in the second, but in terms of the structure of your individual bits of analysis, there are certain unofficial rules governing how you should present things. Does that make sense?
Question 4: How many words should I be aiming for in a text response essay? Our SACs go for 96 minutes and we get the topic at the start of the SAC. My teacher said 5 - 6 paragraphs was ideal but that they couldn't be paragraphs that went on pages and pages and pages (a page-long paragraph is apparently a hit and miss to him). How many words do you think that would convert to? My teacher refuses to put a numerical value on it...
96 minutes
...back in my day, school periods used to be nice round numbers... grumble grumble
Okay, so it sounds like your teacher favours broader arguments over deeper, narrower ones, meaning that you should plan to have four or preferably five paragraphs in your SAC. In the exam this can drop to four or three depending on your preference though.
Reeeeally rough word count: about 900 - maybe dipping as low as 800 or as high as 1200 which is roughly where you're at right now. Best thing you could do would be to time yourself about a week before the SAC and see how you go under those conditions: 96

minutes, an unseen prompt, no notes. That should give you some indication of what would be realistic for you, but don't stress too much if you hit 1000 in practice and then 800 in the SAC. Quality matters way more, and if your approach changes when the prompt changes, that's a good thing!
Hope that clears things up! Loving the feedback summaries by the way - great way to consolidate and improve
