Hey!
So with fairness and equality, they're pretty similar, and to an extent you can use similar definitions/examples in the legal system to describe both. Something I used to do was brainstorm examples of fairness/equality, but I would't strictly say one list is only for fairness and the other is only for equality; because there is quite a bit of overlap that you can use examples from any list to justify fairness/equality, as long as you can explain why it is fairness/equality.
Fairness is more focused on the processes and procedures (think procedural fairness) in the legal system. For example, are both parties legally represented? Are both parties given a chance to present their case? Is the judge an impartial referee? The burden of proof being on the prosecution/plaintiff is another example of fairness, because it is only fair if the party that accuses another is held responsible for their claims and therefore has the onus of proving them in court. Another process in which fairness is demonstrated would be committal proceedings- giving the accused a fair and equal opportunity to understand the claims and evidence against them achieves fairness because they are equipped with adequate resources to prepare and appropriate defence case.
Equality is more about making sure both parties are given the same resources and that no party has an advantage/disadvantage. So are all jurors randomly empanelled and have no connection to either party? If so, this can bring about bias towards one party, therefore compromising the integrity and just treatment of both parties.
One party being self represented (an example you can use for fairness as well) and the other being legally represented can mean the self represented party may be confused in court due to not being able to understand all the complex processes that arise when addressing the judge, jury, when giving evidence, or even the stress that goes in collecting evidence for a trial/hearing. So you could definitely say one party is at a significant disadvantage if this is the case, and therefore equality may not be upheld. Another example you could say is having an interpreter can achieve equality, because it helps level the playing field by removing the language barrier faced by people from linguistically diverse backgrounds.
Hope this helps!