You seem to know your way round words so I'd advise freelance writing. Submit a few articles to a few places that are relevant to your interests and fairly current. Naturally taking time to get a feel for the style on the site. Make sure the editors are aware that you're giving them free stuff as a good will gesture and are available for more content if they need it. You should be able to get to $300 this way fairly easily, but it may take some time for responses, and a few rejections if people don't like your writing, but eventually you'll get a few gigs, maybe some steady ones, for monthly, weekly articles.

If you think you can write something good enough (and it's not that hard to be better than 90% of the target audience) then it'd be a nice quick way of getting the cash.

Create something cool and fund it using kickstarter? Though it's hard to offer advice without knowing your skillset, what are you good at? :)

I'm good with computers, in general. I know very basic stuff about programming which doesn't really count.

I see fake/scam kickstarters all the time and I don't think I can create something good enough so people don't see it like that.

You should learn to code, it's free and you can code with any computer.

Do you really really need a new gaming computer?

well for gaming and running modern apps without any trouble, yes. I'm learning java but this is probably going to take more than 2 years to have enough skills to earn with it.

I honestly can not even browse properly with this system. Heck, it only knows multitasking in theory. I'm a big-time gamer and knowing to have missed all of those great games I wanted to play over the years hurts.

Where are you based ?

India

fiverr (http://fiverr.com) might be a good place to start. There are plenty of people who want small jobs doing, particularly things like researching or writing small articles for blogs.