Kosher and canning are the same...with one BIG exception. Measuring. Canning salt measures the same as table, or "regular" salt. Kosher takes more room...the crystals are bigger and not uniform. I have heard increase VOLUME measurments.. EG: "tablespoon", "cup" by 1/3 to 1/2 when using Kosher.
And "regular" salt is not regular at all. It has added iodine, which will throw a brine all off kilter.
Sea salt is probably more the "regular" salt as it is just that. Evap'd seawater. It has many trace minerals, and I have never heard of any negatives in brining use, but I would be suspect of it in this capacity. Not only for mineral content, but the accurate measurment. Unless you use weights and not volumes, that is.