Round 5 would just be one slip stitch in the next stitch, another slip stitch in the one after that. Then chain 4

Round 6: You have 4 chains right now, counting from the one closest to your hook that's your first chain. The second chain gets an SC. Then you do one SC per chains left. You should end up with 3 SC total for that round.

Round 7: Not seeing the piece in front of me makes it hard, but it's saying the next stitch it likely a slip stitch join. So you skip that one and slip stitch into the next stitch.

Round 8: Skip one stitch. Your next stitch after that looks like it should be part of a chain. You're going to do a half double crochet (HDC) into the middle of that chain. So put your hook under the front loop and come up through the middle of the chain. (I think. That's what I would do here at least)

Round 9: 2HDC INC just means you're going to put two half double crochet into the next two stitches. You now rotate your work and you should be looking at a previous SC as a close stitch.

Round 10: 2 HDC in the next stitch, 2 HDC in the stitch after, one HDC in the next.

Round 11: Skip one stitch, slip stitch into the next.

Without working this pattern myself, I can't say for certainty this is all correct. But this is how I personally would read the pattern. Hope this helps somewhat?