Big Bang Auto at 2 weeks, When will she take off??

Hey guys,
I am going to be bringing this plant to my brother's house since he has a pretty sweet LED light for a closet grow for this plant. I am a little concerned since its an autoflower and I've herd that they do not like to be transplanted. The plant also looks a little small for being just about 2 weeks old. I hope this is just a lack of light issue from being in a windowsill.

Do you guys think she will start growing better once we put her in a closet with a LED grow light above her?

We will be transplanting her into a 3 gal. container and will use the same soil she is in now. Its an organic potting soil from my local farming supply store, It has some nutes in it however it is no where near as much as miracle gro. I added some perlite to the mix as well, I read that auto's really like a good airy soil.

I really hope I didn't screw this up already. What do you guys suggest I do? Do you see anything obvious that I am doing wrong? Am I over watering it or something? Or do you think changing her grow environment will do the trick?

New Setup..Attachment 291594Attachment 291595Attachment 291596Attachment 291597

Make sure the light is within 6-8 inches of her to reduce stretching, but yet still far away enough to not burn her.

Autoflowers do not like transplanting, you should have started her in a pot that can sustain her entire life cycle.

As for the stage she is at, for the 2nd week that is a little on the slow side but I'm putting my money on the window sill light she received for the first 2 weeks of her life.

I my self have never done auto flowers so they intrigued me to do them this season, I have 4 getting ready to hit the green house next week. They are only on day 2 of sprouting from soil and have already seen the first real set coming through. Keep her under that LED and add a few more if you can and I have no doubt she will turn out great.

Mind you, auto flowers only end up about a foot to foot and a half when finished in most cases.

GL man.