I've got way more experience with chillis ("peppers") than tomatoes, but they are quite similar in terms of what they need, and generally lack of light makes the plants grow tall and weak. From growing a few tomatoes this and last year, they are much faster growers and seem to grow taller in any case and fail to support their own weight. My two largest tomato plants are maybe 50-60 cm tall now, and would not stand straight without support (a thread loosely wrapped around the stem, hanging from a nail high on a wall).

If I had to make a guess, the chillis you have in the pictures are Jalapeños, since the leaves look more like C. annuum to me than C. chinense (which Habaneros are). A great way to germinate both tomato and chilli seeds is what we call a "raft" here in Finland: Take a container that can hold some water and has tall walls, wrap a couple sheets of paper towel around a piece of styrofoam or some other floating material, place the foam in the container, add some water and place the seeds on top of the floating foam/paper raft. This way the seeds will have moisture steadily but not drown, and you can easily keep plenty of water in the container since the foam will float on top. You can even draw boxes on the paper towels with a pen to mark which seeds are where. To increase the humidity poke some small holes in plastic film (the kind used for wrapping foods) and put the film on top of the container to have a makeshift mini greenhouse. Once the seeds germinate, you can carefully transfer them directly to a pot or a Jiffy. If you let the roots grow too much they'll go through the paper towel and may get damaged when removing the seed, so you may want to add a layer of coffee filter between the paper towel and the seeds (and draw on the filter, if you wish).