HTTP Get & Post code with slow performance
I personally haven't used anything HTTP-related in Java yet, and thus can't talk about your performance. What I can see though is the following code:

if(protocol.startsWith("https"){
    securedConnection = true;
} else {
    securedConnection = false;
}


I will assume you have securedConnection as a private classwide field, so I won't talk about the fact that you only use it to determine the port in the method scope.

the fun thing is, your code could be written in one line:

securedConnection = protocol.startsWith("https");


if you now inline protocol (Eclipse Alt + Shift + i) you get following line:

securedConnection = connectionUrl.substring(0,5).toLowerCase().startsWith("https");


you see that the call to substring is unneccesary.



You also have a large duplication in itself with the methods processPostRequest() and processGetRequest. they are actually exactly the same apart from the last line:

get = new HttpGet(uri.getPath()+query_string);
post = new HttpPost(uri.getPath()); 


you might want to move them into a method like this:

private enum Type{
    GET, POST
}

private HttpRequest processRequestOfType(Type t){
   uri = Uri.parse(connectionUrl);
   securedConnection = connectionUrl.toLowerCase().startsWith("https");
   host = securedConnection ? new HttpHost(uri.getHost(), 443, uri.getScheme())
              : new HttpHost(uri.getHost(), 80, uri.getScheme());
   request = t == Type.GET ? new HttpGet(uri.getPath()+query_string) 
              : new HttpPost(uri.getPath());
   return request;
}




Lastly I saw that in your method httpGetResponseStream() you have the parameter request, which is never used in the code you posted.