In developing backend components, I need to decide how these components will interact and communicate with each other. In particular, I need to decide whether it is better to use (RESTful, micro) web services versus a message broker (e.g. RabbitMQ). Are there certain criteria to help decide between using web services for each component versus messaging?
Eranda covered some of this in his answer, but I think three of the key drivers are:
It is possible to do Request-Response type interactions with an asynchronous messaging infrastructure but it adds significantly to the complexity, so generally Request-Response type interactions (i.e. does the sender need some data returned from the recipient) are more easily modeled as RPC/REST interactions.
If your interaction can be asynchronous then it is possible to implement this using a REST interaction but it may scale better if you use a fire and forget messaging type interaction.
An asynchronous messaging interaction will also be much more appropriate if the provider of the information doesn't care who is consuming the information. An information provider could be publishing information and new consumers of that information could be added to the system later without having to change the provider.