This had several great moments!
"Look, I'll explain later." Haha that's what got him in this mess in the first place.

"“Sonic it is,” he muttered, pulling it out and quickly disabling the lock. Two doors later he finally lost his patience and merely began blowing up the control panels. Torchwood could fix them later – Rose was not expendable.

Exactly two minutes and thirty six seconds later he burst into the observation room accompanied by a flurry of sparks and smoke.

“Oi!” Seb said, affronted. “You can’t just blow up the...”

“Too late,” the Doctor said as he came to the observation window. “I just did. Three of them actually." "
I love this part! I just sort of wish you hadn't said how many because I rather enjoy imagining a long trail of smoking doors down to Rose:-D I almost think that ending it at "Too Late" makes it a little snappier and very funny because you know he doesn't care about the doors. he's sonic them all! I'm surprised Rose wouldn't let him. After all she did let him blow up her last job:-p She's lost a bit of her fun to Torchwood. They used to love getting into terrible trouble together.
"Aliens can't fall in love." That had me going O_o. You'd think Torchwood would be a little more open-minded. I guess you could blame the ...thing.
Love this: "
Jodie laughed. “Oh Doctor,” she said emphatically and cold sweat broke out across his brow at the knowing look in her eyes. “Not even you can stop us!”

“What did you just call me?” he whispered."

And This: “Please,” the Doctor said quietly. “Don’t make me do this.”

I could really see the ending. See it like it was an episode. Boy you made the end exciting!
Have you ever seen Alfred Hitchcock's Lifeboat? This scenario always reminds me of that film.