The two reported issues point to two distinct faulty components:

1. Smudged Printouts: This is a classic symptom of a failing fuser assembly. In a laser printer, the fuser uses heat and pressure to melt and permanently bond the toner powder to the paper. When the fuser is faulty or not reaching the correct temperature, the toner does not adhere properly and will easily smudge or rub off the page. The fuser is typically located at the rear of the printer where the paper exits.
2. Legal Size Paper Jams: The paper jam occurs specifically when using the tray for legal-sized paper (Tray 3). This indicates a problem with the paper-feeding mechanism for that specific tray. Worn-out rollers are the most common cause of pickup and feed errors, as they lose their grip and fail to move the paper correctly, resulting in a jam.

Andrews, J., Dark, S., & West, J. (2022). CompTIA A+ Guide to IT Technical Support (11th ed.). Cengage Learning.

Section: Chapter 14, "Supporting Printers and Scanners." This chapter details the laser printing process, explaining that the fuser assembly (fusing stage) is responsible for melting toner onto the paper. It identifies faulty fusers as the cause for "smeared or smudged" printouts. It also identifies worn pickup rollers as a primary cause of paper jams.

University of Wisconsin-Madison, DoIT KnowledgeBase. (2020). Laser Printer: Common Problems.

Document ID: 1011. This document explicitly states, "If the toner is smearing or can be rubbed off the paper, the fuser is not heating properly... and may need to be replaced." It also lists "Worn paper feed rollers" as a principal cause of frequent paper jams.

Meyers, M. (2019). CompTIA A+ Certification All-in-One Exam Guide (10th ed.). McGraw-Hill.

Section: Chapter 23, "Printers and Multifunction Devices." This guide explains that during the fusing step, "the toner is melted into the paper." It notes that if this step fails, the result is loose toner that smudges. It also describes how pickup rollers grab paper and that when they become worn, they "can no longer grab the paper," leading to jams.