Hello Fabrizio!
Greetings. Did you capture the thread dump when your application was slowing down? We need to have the thread dump captured at that period to troubleshoot this problem.
In the current thread dump, I don't see any noticeable problems. Below is the excerpt of the thread groups from your application.
"MultiThreadedHTTPConnectionManager" has 36 threads and all the 36 threads are in WAITING state. i.e. they are not doing any work.
Similarly "ajp" thread group (which is tomcat thread pool) has 78 threads in which 74 of them are also in TIMED_WATING state i.e. they are not doing any work. Only 4 threads are in RUNNABLE state (i.e. doing work)
Based on this thread dump, I don't think thread count needs to be increased. However to give proper recommendation, thread dump that was captured during slow down period should be studied.
Edit your Comment