Taking the New SAT with 1970 old SAT Score

Because it's more difficult for colleges to compare scores between the old and new SAT than it is to compare two old SAT scores, taking the new SAT isn't a bad idea. On the new test, you might do better on one section than you did on the old test, and while there is no superscoring between the old and new SAT, seeing that you got, for instance, a 600/610/660 on the old SAT and a 690/680 on the new SAT, the higher section scores on the new SAT will at the very least make a more favorable first impression.

The scholarships question is a little trickier. As Rebecca mentions in a comment to this article, SAT/ACT score scholarships are normally aimed at US students, and many times international students living overseas aren't eligible (if, for instance, there is a National Merit Scholar requirement as part of the scholarship). In order to qualify for one of the rare score-based scholarships open to international students, you'd likely need a higher SAT score than you currently have.

But don't lose hope of attending college in the US! Our article on the 25 best US colleges for international students has a section on the cheapest colleges for international students, and all of the schools in this article offer at least some financial aid to admitted international students. A good phrase to look for on college websites is "needs-blind admissions"; this means that the college admits students regardless of how much financial aid they'll need, and works with students after admission to come up with a financial plan that will allow them to attend.