In theory, in a work context, an application letter is a C.V. in narrative form. It should expand on your experience and qualification in the absence of a C.V. A cover(ing) letter is meant to accompany a C.V. typically highlight more personal attribute with a slight reference to item in your C.V. As for a university, you need to tell them why they should accept you. Very generally speaking, a 'Past, Present, Future' format is most practical. For example, what you previously studied, why you want to attend this university now and what you plan on doing in the future after your studies.

Historically, a "grocery store" should sell mostly food whereas a "supermarket" should sell food plus other household items. However, in the modern sense they are largely interchangeable and often dictated by region, dialect or simply personal preference.

There are plenty of highly qualified and experienced teachers on italki who offer such a service. But there is nothing free that is of any quality. Generative AI like ChatGPT, Grok, CoPilot, etc are TERRIBLE at giving IELTS assessments or grades.

According to the British National Corpus, the word "quarrel" is the 10,248th most common word where as "argue" is 2363rd. In short, it is much more common. Besides that, "argue" is more rational, reasoned (in theory) while "quarrel" is more emotionally charged.

I'm not sure there's a question, but the first part of the paragraph is incorrect. It should be more like - "Neither brains, intellect nor education define higher values on their own" Negative (neither) + negative (don't) = positive. There are a few other issues as well.

#2 is a rhetorical question. The person has seen the completed task, and expresses surprise at it's (presumably) early completion. This question does not need an answer. #1 is a question seeking confirmation and the person asking does not know whether it is done or not.

"Top right" would suggest the general quadrant of of the screen which is more general. "Top right corner" would suggest it's in the part of the screen with the right angle. Both are fine but one is obviously more specific.

Technically, neither is correct. Use of the present simple would typically indicate a regular habit or routine. However, as you have used the definite article "the", you are specifying a single, specific party. Some sort of modal of obligation or necessity would solve this: each student should bring...