Contact your pediatrician for advice.
For the same reason human feces does - Rats are omnivores. If a human and a ratty both ate lasagna for three days straight their feces would smell the same.
No.... well yes if that is all you eat.
you would get sick
Because you ate baby food.
The food you ate.
Because your feces has magical powers that turns anything it touches to feces, and one day your family thought your feces was cookies, ate it, and then they turned into feces! TADAA!
Yes.
If a human ingests a mouse's feces, the human might be exposed to rodent-borne pathogens. The person should be tested for Lyme disease, typhus, and salmonella.
No. Not unless you ate something poisonous and then ate your feces, but if it was a poison that would make you die... You would be dead before you could eat your crap. It also depends what happens between you and the feces. If you shove a bunch of it in your mouth, then yeah, you'll die. But if you just touch it or eat it, then no, you cannot die from feces. But if it is something else's feces, then there is a slim chance.
You probably ate too many fruit loops
Exposure to feces can make you sick because feces is a good growing medium for germs. Germs that can grow in feces can cause a number of diseases. If your cat has toxoplasmosis, and you handle their feces, you can get toxoplasmosis too.
Of course it is a problem if a toddler ate (ingested) baby powder! Call your doctor to see what they recommend.