The little man in the screenshot is from the "LOFI Fantasy 2D/3D" tileset[1], which has a CC BY-NC-ND license. After a quick look around, doesn't look like it's available on Oryx's site any more, however.
Your reasoning reminds me of the danger of retinal damage when observing a solar eclipse - a human's natural inclination to not stare at the sun is sharply reduced because the viewable area is so much smaller than usual. Looking at a thin slice of the sun is as dangerous as looking at the unobscured sun, even if it doesn't feel like it. But I don't think Betelgeuse would be dangerous in this way. It would be more like watching a lunar eclipse, which may be done without safety equipment.
3,3,4 isn't a valid solution because then B would not reply "that's not enough information." There's exactly one triplet that adds up to eleven, so if B's phone number ended in 11, she would have immediately deduced the solution instead of asking for more information. Same with 1,4,9: that's the only triplet adding to 14. The only valid triplets are ones that share a sum with another triplet. Only two triplets multiplying to 36 share a sum: 1,6,6 and 2,2,9 both add up to 13. Once B learns that A has an "oldest kid", B can rule out 1,6,6, because A would have said "one of my oldest kids has blue eyes" in that case. That leaves 2,2,9 as the only valid triplet.
Yes, Tetris DX's maximum speed is pretty permissive. Even at level 30, you still have enough time to orient your piece and place it anywhere on the playing field. This isn't the case for the maximum speed of other Tetris versions.
Not too weird. That's just how high the score counter goes. You can keep playing after that, but the number stops going up. (source: I've gotten that score myself. (although I paused every hour or so when my arms fell asleep, so that disqualifies me from submission))
Mars does have wind. In fact, dust storms have been known to last for weeks and encompass nearly the entire planet.
However, I don't think the wind is a likely culprit. If the wind was strong enough to knock over a rock, it would also be strong enough to blow a lot of dust around. That would be very noticeable to anyone watching the rover's feed, and would surely have been mentioned in the article.
Some simple resolutions would be: a freak lightning strike disables the robot's button-pressing hardware. Or a cosmic ray flips a bit in its machine code, causing it to shut down. Or the robot's designer suffers a heart attack before turning it on.
These may seem like contrived examples, but when you eliminate all outcomes that aren't self-consistent, it may be that _all_ the remaining possibilities are contrived. Probability gets weird when time travel is involved.
[1]: http://forums.tigsource.com/index.php?topic=8970.0