JavaScript is kind of ugly in some ways, but not really complicated. You could easily pick up the basics in that time frame.

I've heard people say good things about this book:

http://www.amazon.com/JavaScript-Good-Parts-Douglas-Crockfor...

But I've never read it myself.

Having taught javascript to coworkers who were proficient in other languages (c++, c#, ect), javascript was confusing to them since many things act differently in javascript from other languages. That said, with the availability of online help and tutorials, you could definitely get off the ground with it, but it will give you a very different experience than something like python. Depends if you are more interested in programming fundamentals or in web programmings. If you are looking for fundamentals, I would learn Python or Java.

in response to qzcx's reply, it's true. If you want fundamentals then something like Java, Python, or C, C++.

JavaScript really is the way to go to get your feet wet just because it'll give you the experience to build a wide range of platforms such as: Mobile (Cordova, Appcelerator, React Native), Desktop (AngularJS, RequireJS, Dojo, jQuery, Vanilla JavaScript/ECMAScript 6), and Server Side (NodeJS - basically you don't need to learn a front end and back end language).

But still, you should definitely learn one of the more traditional languages at some point in time, especially if you're doing this for a living.

And I would recommend just figuring out something you want to build and just build it. Focus on building and everything will start coming together. You should definitely study, but studying alone will not get you anywhere unless you apply it. And if you're planning on doing this for a living, nothing beats being able to show potential employers your previous projects.

As for your plan, that's definitely enough time. You will definitely get somewhere with it!