First and foremost, talk to your teacher. Their specific expectations in this assignment matter the most here. The best anyone here can offer is generic advice that may or may not apply in this particular case.

However, when I've set similar assignments in the past, I did not expect responses to be traditional essays in the sense that the goal is not to present and substantiate a central thesis. My reading of your assignment instructions is in line with this: they are not expecting a traditional essay, but rather are warning against answering each question in a standalone way, and expect instead a single answer that resembles an essay in form but not in purpose/structure.

They've done a decent job of spelling out what they want from you here. Again, if I was marking it, the overall aim would be to show that you know how to use the source you've chosen - that you can not only show your awareness of the source's limitations/biases/reliability, but also indicate how the source might be used productively to understand more about the past. Primary source analysis is, in its most simple sense, knowing what questions you can ask of a particular source, and a primary source analysis exercise of this type is about showing that you can build the required knowledge of a source and its contexts in order to ask good questions from it.

The assigment is asking for the "external" analysis of the source (commonly named as the context). In other words of the first post, so when you go into the contet itself of the source (internal analysis) your able to ask questions that the sources could provide some awnser. Now remember that the question you would ask later depends of the problem and aproach your working on it. So the same source could have multiple readings.
Lets take for example the communist manifesto. The most important part of the audience of this should be the proletarian and proto-proletarians (a selfaware subject of his potition in society and his revolutionary potential) ¿how much this speak for the actual working class in the mid of XIX from a social history point of view? not much, we could say theres a bias. But if the aproach came from intellectual history about the realation of marxism and the working class, that bias becomes reliable in terms of ideas of the past.
The assigment wants from you the base of source analysis, planting the seed before the roots goes deeper and complex into the past.

Hi - we as mods have approved this thread, because while this is a homework question, it is asking for clarification or resources, rather than the answer itself, which is fine according to our rules. This policy is further explained in this Rules Roundtable thread and this META Thread.

As a result, we'd also like to remind potential answerers to follow our rules on homework - please make sure that your answers focus appropriately on clarifications and detailing the resources that OP could be using.

Additionally, while users may be able to help you out with specifics relating to your question, we also have plenty of information on /r/AskHistorians on how to find and understand good sources in general. For instance, please check out our six-part series, "Finding and Understanding Sources", which has a wealth of information that may be useful for finding and understanding information for your essay.