The router for both locations should be placed in a secure location with good access to power sources, so that it can easily maintained by network engineers if needed. In addition, the choice of switches at each site should be based on performance needs and budget considerations.

For routing protocols, Dynamic Routing Protocols (DRP) such as OSPF would work well for this application due to its scalability and support for Multi-Protocol Label Switching (MPLS). The main advantage of OSPF is that it can detect link failures quickly and automatically reroute traffic to alternative paths when necessary; thus providing fast response times in case of any network outages or disruptions. On the WAN side, EIGRP could also be a viable option since it allows for better control over traffic flows between multiple sites using QoS prioritization policies amongst other features.

In conclusion, choosing the right technologies for Health Systems’ remote access depends heavily upon their specific requirements and objectives when designing a LAN/WAN architecture from which they can operate safely without compromising data security or performance speed while maintaining an acceptable level of reliability within their budget constraints