Ok well first off, aluminum foil is a really bad reflector. It tends to act like a mirror and can create "hot spots" on the plant due to the wrinkles. Matte White or Mylar material are far better for reflecting light.
The fridge sounds like a good choice for a small stealth grow box. For lighting you could use CFL's, Florescent lights, or even a small HID light, maybe 150w or even 250w. HID's would probably be the most effective and easiest to set up, but will create more heat than the other options. If you do decide to go with the HID setup, then I recommend a digital ballast as most can operate MH (vegetative) bulbs as well as HPS (flowering) bulbs.
Make sure the soil that you have has a decent amount of pearlite in it. Otherwise go get yourself a bit and mix it in before you start planting. You want lots of drainage in the soil. Cannabis plants are better fit to deal with lack of water, rather than too much water.
Next, you should go down to your local hydro shop and pick up some nutrients for your plants. I absolutely love the results I get from a 3 part Micro, Grow, Bloom type fertilizer. That way you can mix in portions that you find your plants like best. For instance Plants use more P and K and less N in flowering and need more N and less P and K in Vegetative growth. But again, you'll play around with it and find out what works best for you and your strain. I also highly recommended a ph tester, electric or the oldschool ph paper test kits. You'll need that and some PH UP & DOWN in order to get your water to the right ph level (6.5 in soil approx. depending on strain) in order for your plants to be able to absorb the right amounts of different nutrients.
Perhaps the biggest issue that I can think of is odor control. I have had good odor control with a carbon filter. You can get fairly small ones, so again, I would go to your local hydro shop and see what they have available for odor control.
Search up all these things I have mentioned for now and do some homework. If you do the homework and don't do everything half ass'd, you'll have something decent to show for it in the end. Anyways, that's all I can think of for now. Good luck man!