Well, after a very long day we are finally able to use our plumbing. About 5 tonight we were able to get things working properly after cutting the main drainage pipe to the septic tank and running an auger to open up the line. I temporarily put the pipe back together with a cuff and in the morning will seal the line back up for good.
The best news is that we are able to shower, flush, and just live normally in our home again. I am so thankful for everyone who helped us out today and tomorrow as well. I am definitely not gifted with being a handy man, but thankfully God blessed me with people in my life who are!