Discover address of event server

Can I discover address of the event server by communicating with management server (using SOAP) or api gateway (using REST)?

Address of Recording Server can be discovered using https://doc.developer.milestonesys.com/mipvmsapi/api/config-rest/v1/#tag/RecordingServer/operation/getrecordingServersById

Is there something like this that returns address and port of the event server?

There is a separate service (SOAP) for Service Registration:

https://doc.developer.milestonesys.com/html/index.html?base=reference/protocols/registrationservice.html&tree=tree_search.html?search=registration

It will give you the Event Server and other registered services.