Much of this material should have been covered, at least in a general sense, in your immunology class. Hopefully some of it will be a review so that you can spend more time learning the details. The important effects are on arterioles and venules. Complement components are measured in the laboratory and frequently make their way into discussions of clinical conditions. Most important for us are C3 and C5.
Hageman factor is important in both the kinin and clotting system.
Come back to the inter-relationship of the 4 plasma mediator systems once you understand each individually. The important individual products are LTB4, PGI2, and TXA2. The other leukotrienes and prostaglandins at the end of the pathway can be thought of as a group with similar actions. There is not much in the book about these, but information will be given in lecture. Aspirin and ibuprofen block both COX-1 and 2, therefore reducing pain but also leading to side effects such as ulcers.