Turn 1:
Note to everyone: In the future, please specify just how precise you want your jump to be, as that can make the difference between an annoying, if non-fatal setback, and being sent who knows where.
Carmen Sandiego:
[Power: 1+2=3]
[Precision: 4-1=3]
You make the jump, though a power fluctuation makes your targetting a bit unstable, and you find yourself arriving about a month earlier than intended.
[Luck: 3-1=2]
You find yourself hovering over empty countryside, though you can see a city in the distance. How will you proceed? It seems that nobody's really gotten a good look at you yet, but the helicopter is your main mode of transportation, and it's obviously futuristic compared to the stuff of the 1920's, so actually using it could make quite a stir...
April Eploc:
[Destination: 1873]
[Power: 6] (Precision is not rolled for random teleports)
[Luck: 3-1=2]
Congratulations, you are now in 1873, as your PDA tells you. You seem to have jumped into an alleyway of some sort, and a quick glance around confirms that you are indeed within a city. It's roughly mid-day (and dreadfully hot out), with various people walking around outside the alley, both a mixture of white and black, though the former seem to shun the latter (with the occasional exception). A black person bumps into one of the whites, perhaps on purpose? The white guy definitely takes offense, calling the black guy a certain word beginning with N... and gets a fist to the face for his trouble, starting a full-fledged fight between the two.
That said, the various people in the street have gathered around to watch, and there's a good chance this could erupt into something even more violent. Sadly, the only exit out of the alleyway seems to be through the melee, so you'll either have to wait for it to pass, intervene, or just try to sneak through before anything more serious happens.
Epaphroditos:
[Destination: 1440]
[Power: 3]
[Luck: 6]
You quite abruptly appear in front of a group of peasants, who react via a combination of awe and terror, exclaiming about the bright lights that accompanied your appearance. Fortunately they still seem to be speaking greek, informing you that you must be still in your home country, fortunately. It would be little trouble to convince them in their state that you are some legendary wizard, or perhaps an angel sent to test them, but is that the path you wish to take?
Ryan Mason:
[Power: 6]
[Precision: 6]
You appear in the basement on the previous day, or at least so the time machine you have claims. A quick glance around confirms that it is indeed the basement of your lab at the university. You idly wonder who you replaced, but decide it isn't terribly important, surely you can find out later, and it's not like they'll know you're responsible.
[Luck: 1]
"Hey Ryan, come on and help me take this railgun down to the basement, we don't want a repeat of last time.", a familiar voice calls out. You recognize it as Mike, one of your colleagues, a rather excitable fellow who's prone to... unfortunate reactions when sufficiently surprised.
"Alright, alright. Just let me get back to my work after this.", your own voice calls out.
Ah, crap. You suspect you can convince yourself of what really happened without too much trouble, but Mike on the other hand would probably panic and call security if he saw your past and present self at the same time. And if security saw the two of you with that railgun still in one piece... yikes.
Now what?
Jack Robson:
[Power: 3]
[Precision: 1 + 1 - 1 = 1]
You lock in your destination, planning to invest in the oil fields and make a fortune... wait a minute, where are you?
[Luck roll: 2-1 = 1]
You're obviously at the edge of a small town, with a large fire burning in the main square. Screams of pain alert you to the reason of said fire, there's a mob burning someone to death, yelling something about a witch along with other words you'd rather not repeat. A quick glance at yourself and the crowd makes you realize that your clothing is far from normal in this day and age, which makes you stand out more than you'd like...
[Mob perception roll: 2]
Fortunately, nobody notices you yet.
Vash Aarons:
[Power Roll: 2+1]
[Precision Roll: 4 - 1 - 1]
[Luck: 2]
You time-warp into the middle of a snow-storm. You're only dressed in a light jacket, but it's at least 10 degrees below zero out here. Great...
[Perception: 5]
You can spy a tower of some sort roughly a mile away. Make a run for it, or try shooting yourself again and hope for a warmer climate next time?