Resource Monitor is a Windows utility that can be used to monitor and analyze the system resources and processes running on a computer. It can be used to identify and troubleshoot any issues that might be causing the computer to run slowly, such as CPU usage, memory usage, disk I/O, and network usage.

The most likely reason for the installation failure of a 64-bit software is that the operating system is incompatible, specifically if the system is running a 32-bit version of the OS. A 64-bit program requires a 64- bit operating system to run, and if the user's OS is a 32-bit version, the software will fail to install. Other reasons, like needing administrator privileges or updating .NET, are valid but less likely since the error message would be different.
References:
Microsoft Support: 32-bit and 64-bit Windows: Frequently Asked Questions CompTIA A+ 220-1102 Study Guide (CompTIA) (ProfMesser)

Bringing the device within Bluetooth range is the best way to troubleshoot the issue of inconsistent audio when using wireless headphones and moving around. Bluetooth is a wireless technology that allows devices to communicate over short distances, typically up to 10 meters or 33 feet. If the device is too far from the headphones, the Bluetooth signal may be weak or interrupted, resulting in poor audio quality or loss of connection.

The first step in troubleshooting a Bluetooth connection issue is to check that the accessory is ready to pair with the mobile device. Some accessories may have a button or a switch that needs to be pressed or turned on to initiate pairing mode. If the accessory is not ready to pair, the mobile device will not be able to detect it.
Reference: CompTIA A+ Core 2 Exam Objectives, Section 2.4

The most likely cause of the intermittent crashes is that the proprietary software is incompatible, outdated, or corrupted. Reinstalling and updating the software can fix these issues and ensure the software runs smoothly.
Reimaging the computer or replacing the system RAM are too drastic and unnecessary steps. Decreasing the page file size can worsen the low memory problem and affect the performance of other applications.