@ScHwErV. Thanks for posting. In regards to the title, it depends on how you display the module. I think if you use the loadmodule or loadposition plugin to place the module in an article, it ignores the module’s title. I am not 100% sure about this, but I think that’s how it works. However, in general, it is Joomla that provides the means to display title. We don’t have it in our code, as module developers. If you were to just display a module in a position, I am sure you would see the title, if you chose the option to show title.
As for Next and Previous buttons… that has nothing to do with the module. I have no code in there for that. That has to do with Joomla. When you have articles in the same category, Joomla will show these buttons so you can go to the next article. You can change this behavior by editing the article options, if I remember correctly. Go to the Article Manager, click on Options, and in the Article tab, you should see Show Navigation. It is set to Yes by default. Change it to No.
Hope this helps.