A first aid kit is a must-have. And I know it's not always feasible but this is a good reason why it's a good idea to wait until a buddy is with you to gut a deer... Just in case something goes wrong.
And I'm not trying to criticize your gutting methods or anything because there's obviously a lot of ways to get the job done... But to me, this is another reason not to worry about splitting the sternum or the pelvis in the field. Any time you have to run a knife through bone or thick cartilage you have to put a lot of pressure on the blade, pressure that can cause a bad outcome if you slip. There's really no reason to split the sternum or pelvis in the field IMO. Just cut enough to get your arms up in there and get everything out.