I think the next step is pulling the toilet off. It's been a non drainer or very slow drainer for awhile. If I pour a bucket of water down, it flushes right away but still doesn't sound right. Toilet paper won't go all the way down. I've plunged it an unbelievable amount of times with a rubber flange plunger, used a 3 foot closet auger (I don't have a six foot), and tried to figure out if it's something in the top of the toilet that isn't letting enough water in, which I'm not sure about.
I have 3 young kids, so there is a fair chance something substantial (car, soldier, etc..) went down there. Is my next step pulling the toilet off? I realize I need to get another wax ring if I do that. This might sound dumb, but if I pull the toilet, what exactly am I looking for?? Something up inside the bottom of the toilet, or more likely a clog in the big pipe? I can't imagine that part being clogged. Suggestions??