Hey LilyEQ welcome! Glad you decided to join the board!!
First, I think you should probably move your plants from a bowl of tap water into a bucket of water. The bucket is bigger and deeper, and it will insure all of the plants are submerged and wet. Dechlorinate the water if necessary. Some may say that step is not needed, and they are probably right, but I always feel better about it!
Wow, an Eheim 2213 canister for your 16G! You have certainly selected a quality piece of equipment. The Eheim 2213 pushes 116 gallons per hour. That is a lot of water flow for a small aquarium...
The amount of light you are going to need is going to depend on the plants you want to grow. Right now you are going to have about 1.2 watts per gallon. That might be a bit too low. You might want to bump up to 30 of 40 watts. Tell us about the fixture. One of the boards DIY whizzes will certainly be able to tell you how to upgrade the wattage much better than I. I am a DIY idiot!!
I believe the corkscrew plant you are posting about is a Vallisneria sp.
Sounds to me like you are off to a good start! You seem to have a basic understanding as to what your plants are going to need to thrive. Keep asking questions. That is the best way to get answers! Again welcome to the board. I look forward to following the progress of your new aquarium.