If the checksum is incorrect, a typical IPv6 implementation will drop the packet. So, it is a serious issue.
If you insist on crafting the packet yourself, you'll have to do it completely. This incldues finding the source IP address, to put it in the pseudo-header before computing the checksum. Here is how I do it in C, by calling connect() for my intended destination address (even when I use UDP, so it should work for ICMP):
/* Get the source IP addresse chosen by the system (for verbose display, and
* for checksumming) */
if (connect(sd, destination->ai_addr, destination->ai_addrlen) < 0) {
fprintf(stderr, "Cannot connect the socket: %s\n", strerror(errno));
abort();
}
source = malloc(sizeof(struct addrinfo));
source->ai_addr = malloc(sizeof(struct sockaddr_storage));
source_len = sizeof(struct sockaddr_storage);
if (getsockname(sd, source->ai_addr, &source_len) < 0) {
fprintf(stderr, "Cannot getsockname: %s\n", strerror(errno));
abort();
}
then, later:
sockaddr6 = (struct sockaddr_in6 *) source->ai_addr;
op6.ip.ip6_src = sockaddr6->sin6_addr;
and:
op6.udp.check =
checksum6(op6.ip, op6.udp, (u_int8_t *) & message, messagesize);