If you do not work on an important problem, it's unlikely you'll do important work. It's perfectly obvious. Great scientists have thought through, in a careful way, a number of important problems in their field, and they keep an eye on wondering how to attack them. Let me warn you, `important problem' must be phrased carefully. The three outstanding problems in physics, in a certain sense, were never worked on while…
Time travel back into the past is understood to be impossible.
Now that said, most physicists are convinced that time travel cannot be possible, because if it were then paradoxical situations could be constructed--e.g. going back in time and killing yourself (the earlier you) before you entered the machine, or killing your grandfather before your father was born, etc. There are as many theorized rules preventing or limiting time travel as there are physicists that have looked at it, but critically they are all ADDITIONAL rules, postulated not to explain observable phenomenon but purely to think up a way time travel paradoxes might be avoided. Physics, as currently understood from available experimental evidence, 100% allows time travel to the past, paradoxes included.