Your questions are a bit far-reaching for a full explanation on a concise Q&A site like SA. You would really need to read a lot of material for a full understanding.
However, some brief simplified answers to get you started
1) HTML links to JavaScript via events that trigger JavaScript functions. This is an example of a very simple event on an HTML element that will look for a function in your JavaScript declared as function aJavaScriptFunction(){ } when you click on the button. There are different ways to do this and different types of event, but this is a good place to start.
<input id="thebutton" type="button" value="A Button" onclick="aJavaScriptFunction();" />
2) It very much depends what you are trying to do, but in general selecting HTML DOM elements via their ID is an efficient method of selecting them to do something with them. So this might be the JavaScript function that we're using in the previous example.
function aJavaScriptFunction()
{
var aButtonElement = document.getElementById("thebutton"); // <-- It's not a "CSS id" as such, CSS can use the HTML id
// .... some more javascript that uses aButtonElement like
aButtonElement.style.borderColor = "red";
}
3) No. JavaScript and CSS don't really directly overlap as such in the way you might be thinking, when you're beginning, think of them both as altering the HTML. It is possible to do some of the same things with JavaScript as CSS, but in general they happen at different times. This CSS doesn't conflict with the previous JavaScript, though they both do similar things.
#thebutton { border-color: blue; }
Here are all my examples put together into a jsFiddle where you can play with them.
You'd be best off visiting somewhere like W3 Schools or Code Academy.