If your child went to K and it has been around 1 month, I would say wait and watch one more month. The new schedule is hard to adjust to for 1-2 months and it accounts for a lot of the moodiness and grumpiness. I had the same suspicions as you for the same reasons. My child was writing horribly in K and it improved a lot over the K year. He still has letter reversals in 1st grade, but he is catching them and fixing them himself. My DS is ambidextrous - that was one of the reasons that he was writing his name backwards. And my DS could read a book if I put it upside down - so it probably made sense to him to write upside down too. I was alarmed and I was told by my pediatrician, K teacher, preschool teacher that things will sort themselves out later on and I was sceptical. But, I am seeing that with the rigor of writing in K and 1st, the problems are resolving themselves. So, please get his vision examined and if there are no problems, just observe him for a few months and see if things improve. And let the K teacher know that you have these concerns and ask her to keep an eye on your DS's work and let you know what she thinks.
And let your DS get more rest. That helps during the first few months of K.
Good luck.