I think you're on the right track. I remember being overwhelmed when I was first started taking pictures in the studio.

For manual "studio" camera settings try this:

• Set your ISO as low as your camera allows. You want the least amount of noise in your images.
• Set aperture to f/10 to get more of the product in focus.
• Adjust your shutter speed as needed to allow more light in so you get a good exposure. Start at the fastest speed and then just work your way up until you find what works for your continuous LED lighting environment. Keep it simple and leave ISO and aperture alone.

Additional suggestions:

• Shoot on a tripod
• For convenience, consider shooting tethered to a laptop so you are not fiddling with the camera. It's just so much easier to compose a shot on a larger screen.
• Once you have your camera settings dialed in, take a shot with a grey card in the frame and use this to set your white balance in Lightroom/Capture One/Camera Raw/etc.
• As tempting as it is, I wouldn't aim for a pure white background "straight out of the camera" with your limited lighting setup. I would aim for a light grey background and then doing a background replacement to pure white or whatever you have in mind for the background. There are tons of different ways to approach the background editing and it really depends on what you're shooting. Getting the whole product in focus makes this much easier as well.

You're off to a good start and asking great questions. Since you're using continuous light built into the lightbox, the main variable I'd play with would be shutter speed. I would keep the ISO as low as it can go (seems like 100) for noise purposes and I'd stay at F10 or F11 to get more in focus. I'd aim for a light grey background color that can easily be changed to white in post while still keeping some natural shadows. I find that if you aim for a pure white background, you're going to get this flare effect on the sides of your product like in image 3.

I would also recommend moving your camera slightly further back from the subject or moving the subject further into the tent because you're getting a slightly distorted look. The bottom of the keyboard should be straight, but you'll see that is curving and that's caused by how close the subject is to the lens. There's a reason why 100mm+ is popular for e-commerce photography. This added distance will also help with getting more of the subject in focus.

Also look into shooting tethered to rule out any chance of camera shake, but I guess your self-timer of 2 secs sort of handles that.

You're shooting RAW which is great. Once you've found your optimal shutter speed, I would shoot an option with a grey card (example) so you can set your white balance in post