Logline--Take two and First 250 words

So tomorrow is the Bakers Dozen entry deadline and I am pleading for a little end-of-the-line help. I have my log line below with two possible endings and my first 250 words and once again my mind is mush and some crit love is much needed. Whatever you can give would be great!

Logline ending 1:

Seventeen –year-old Kali Addison is time. So when her father’s time machines are incinerated making her the sole time machine on earth, she is hunted by a corrupt government who wants to reproduce her and anti-time travelers who want her dead. If either of them get their hands on her before she remembers how to use her powers to protect herself, then its times up—for everyone.

Logline ending 2:

Seventeen –year-old Kali Addison is time. So when her father’s time machines are incinerated making her the sole time machine on earth, she is hunted by a corrupt government who wants to reproduce her and anti-time travelers who want her dead. If either of them get their hands on her before she finds and destroys them, then its times up—for everyone.

I am looking for ending help as well as your thoughts on the logline.

Now for the first 250 words:

Picking at my fingers is an art form.  I start by prodding the side skin around my nail until it lifts enough for my teeth to yank it away. This calms me until the pain comes, which it always does.  I don’t like pain.  It reminds me too much of my life so I move on to biting the actual nails, chipping away until all that’s left of my fingers are angry red stumps.

I do this now watching my friends goof off in a line that snakes around a side wall leading to a check point, which, beyond that, leads to further lines and check points.

The endless foray and clusters of people whispering in hushed tones in the starch white building aren’t enough to make my friends shut their pie-holes for once. Greer has to pull Sages hair in a playful manner and she has to love tap him back while Flip laughs out loud at them both, not concerned one bit about the on-lookers dumbfounded glances in their direction.

I break from biting my nails long enough to duck my head when Flip calls me out in that pompous way he’s so good at. “So Kali, where you takin’ us?”

He did that on purpose. Jerk. He wants people to know I’m here, using my father’s time machine to travel. The last thing I want is a bunch of paparazzi swarming us. It’s why I wear the stupid bumble bee glasses and ball cap. But it’s the only thing he wants and when Flip’s around, it’s all about him.

That's it! Thanks for all your help:)