But realistically, if I'm using headers defined by either POSIX or Windows, that's probably enough of a guarantee. (Though I'd still use CHAR_BIT rather than 8 to refer to the number of bits in a byte.)
Yeah, if you're going to be pedantic, check your facts, see the sibling. Since I'm assuming an 8086 interrupt table, I'm also going to assume 8-bit chars, as that's the x86 addressing model. And dereferencing a null pointer is UB, so you can't count on anything anyway without making further assumptions.
A byte is CHAR_BIT bits, where CHAR_BIT >= 8. (It's exactly 8 on most implementations; DSPs are the most common exception).
short and int are both required to be at least 16 bits wide. It's possible for int to be 1 byte (sizeof (int) == 1), but only if CHAR_BIT >= 16.