I have looked for some of the workflow-engines but I do not think that
I can create my workflow without writing any java code.
This depends on your business processes and the complexity of your workflow. Usually yes you will need to write some code to achieve it.
Should I write a separate microservice just for microservices
orchestration? This orchestration microservice will know the exact
workflow and can be configurable for inputs required to start the
workflow, and it can also use some third-party workflow engines like
Camunda to store the definition of the workflow.
Yes you can do that. I did something similar on a system using micro-services. This would be a very good Idea on the long run as you could configure your workflow based on environments as well. For example on your development machine you would have a little different workflow/configuration. This is practical for Developers or QA's testing their solutions. On the other hand on Staging/Production you can pre-define Customer setups/orchestration which you can reuse any time if you get new customers or users.
Is this correct thinking to have a separate microservice just for
microservices orchestration? Till now the existing microservices have
no idea about the other microservices. There could be a chance that
output from one microservice needs to be massaged before using as
input for other microservice.
Yes you can do that without problems although I would be careful with the name orchestration as this has another meaning in context in micro-service architecture(Docker, Docker-Swarm, Kubernetes). Similar examples would be some kind of EndToEndTest or Cross micro-service testing-micro-service. That would test cross micro-service business operations and assert the results. Usually business operations involve more then 1 micro-service so in order to test that you can use this approach. This micro-service would call APIs from multiple micro-services and test the results and scenarios based on your Business rules. Another example would be something like seeder-micro-service(which seems to be very similar to what you are trying to do here). This seeder-micro-service would be responsible for seeding(creating) test data to your micro-services. This test data is some basic setup/configuration data which you need in order to have your micro-service business processes to work. This is very handy for development machines or some test environments where you need to quickly setup an environment. Using this seeder-micro-service you can easily setup do your work or tests and dispose the environment(data) as you need it. This is especially useful for development machines setups but it can also be used on shared test environments and etc. Both of those examples are micro-services which server your needs and make your life easier to work with your system.
One final note regarding this:
Till now the existing microservices have no idea about the other
microservices.
They should be abstracted from each other in a way that they are not aware of internal implementation or data(separate databases) but they should communicate between each other in order to perform business operations which sometimes are cross micro-services. Like the typical example of payment-micro-service and order-micro-service from an online shop example. So it is fine that they know about each other and communicate but this communication has to be very carefully designed in order to avoid some common pitfalls.
They usually communicate with each other with direct calls over HTTP or some other protocol or through some message queue like Apache Kafka or RabbitMq or others. You can read more about it in this answer.
