"HealthTrack," a hospital management system utilized all over Australia, is planning to integrate a new module called "Electronic Prescription Management." This module aims to digitize prescription processes, enhancing accuracy, efficiency, and patient safety. As the development team prepares to undertake this project, various design patterns and architectural considerations need to be evaluated for smooth integration with existing hospital management system.

a$)$ Outline the essential software requirements for the successful implementation of the "Electronic Prescription Management" module within the Health Track system.

Discuss specific functionalities, performance criteria, and compatibility considerations that need to be addressed to meet the needs of healthcare providers.

b$)$ Evaluate the suitability of at least $2$ design patterns $($e$.$g$.,$ MVC$,$ Observer, Factory, etc.$)$ for implementing the "Electronic Prescription Management" module within the "Health Track" system, considering factors like modularity, extensibility, and maintainability.

c$)$ Recommend the best architectural design for the Health Track system, ensuring it remains scalable and flexible, particularly with regard to integrating the "Electronic Prescription Management" module. Also Provide reasons on your for your recommendation.