A.N.
Try to move on, your husband already told his mom what he thinks about her treatment to the older kids; and he did not distinguish them as grandparents (by sending them a mass email) when your baby was born... nobody is perfect here.
Your husband seems to be a nice person who respects you and loves the kids very much. Try not to give him more problems with his mom.
Looks like the mom and step dad have 'learned a lesson' to include your older kids in invitation. Let them know it's just bad timing that the older kids have school and couldn't attend (they did not choose the date, your husband did), but you appreciate it and move on.
It is like reinforcing the good behavior! You can't force their love, but they could be considerate to your kids' feeling. The change may be gradual, but you will let them know it is appreciated every time.
Try to be civil to your ILs and don't get involve with their conflicts, afterall you are not blood and will always be the one blamed.