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This system has potential energy. The mass changes because of the relative velocity of the objects to the rest of the universe.
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Energy is mass. Why do you consider potential energy not to be energy?
The conversion of potential energy into kinetic energy shouldn't cause a change in mass, as far as I know. I haven't seen a convincing arguement stating otherwise.
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And no you cannot break the speed of light even with gravity
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Sigh. I said:
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Could you get those objects to break light speed, using gravity, without them already being inside a black hole?
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Things already inside a black hole don't happen -- no outside observer can witness something actually getting inside a black hole, because it blue-shifts out of perception, and hence existance. As such, if the only way to 'break light speed using gravity' was 'already being inside a black hole', this means 'you cannot break the speed of light with gravity'.