Hi,
sorry, but this goes beyond what I can help with. Questions are tagged here, and this one is marked with "APM". Teams typically look at questions based on those tags.
I think the log shipping question around APM is answered - although unfortunately the answer is that the community agent you use, won't be able to ship your logs.
I suggest you enter a new question here and add the topic "Logstash" and focus only on the Logstash setup and questions around that. That way the corresponding team may be able to help you.