It was probably jetpack, my IP was 128.199.194.176 which is used to remove browser cache. And yes, 128MB is fine and will help but it also matter if there are popular websites on the server. In future you can also use a simple caching plugins like WP Super Cache.
To see if replace tools works or not check out HTML source code. You shouldn’t see paths like flaminiaedintorni.com/wp-content/plugins/ and similar that.