Your pictures are a little blurry but I’d like to ask which cast on you are trying to do? There are a lot of them and I’m not 100% sure from your picture. The most common, good, all-around cast on is the long tail cast on. That may be the one you have there, but not sure.
Are you holding the needle with the stitches on it (after you have cast on) in your left hand as you knit the stitches off with the needle in your right hand? I ask because both of your last two pictures have you holding the empty needle in your left hand.
If you are doing regular right handed knitting you want to hold the needle with the stitches on it in your left hand and knit them onto the one in your right hand.
I also wonder how you are holding the needle with the stitches on it? I have taught people to knit and find that a few folks try to have the knotted up looking edge of the cast on at the top of the needle in the left hand. If you are doing long tail cast on, and knitting right handed the left hand holds the needle with the stitches so that the yarn is coming from the end of the needle you are working from and the knotted edge should be at the bottom. The place you stick the right needle in to knit is just to the left of the loop on the needle and just above the “knot”.
Another comment I have is that when you have yarned around and pulled the new loop through and are ready to ease the first loop off the left hand needle to do it gently and don’t pull it a long ways away from the left needle. Just ease the loop gently off the left needle, no pulling hard, and keep the needles close to each other. That way you won’t pull out a long loop.
When you move the right hand needle to the left hand after the first row be sure you hold the growing fabric pointing down into your lap, with only the stitch loop at the top of the needle as you are ready to begin the second row.
The first row of knitting is always the hardest. In fact when I teach folks to knit I like to have the cast on done for them and a few rows knit already. That makes it a lot easier. After they get the knit stitch down well, [I]then[/I] I teach them to cast on and do the first row. So learning on your own and having to cast on first thing and do the first row is harder so don’t be discouraged.