The doses you describe would most likely not be harmful. However, the combination is dangerous in higher doses (for instance if the child drinks it). I think you're okay this time.
it is not strong enough to harm
no
No, distilled water is water without minerals and other impurity's.
no
yes it is very much.
No
Alcohol isn't for minors except in countries that permit it. I Alcohol can affect the way you think and, if massive amounts are consumed over a very short period of time, alcohol poisoning can occur. This can kill you . There are many more..
to your mom
In the extreme, both alcohol and tobacco can lead to death, so...at least in that sense...they are equally harmful.
it is harmful because it can dehydrate the cells in our body
Alcohol is harmful to almost every living creature by damaging brain cells and slowing movement so the answer is YES
The alcohol because it gets into your blood stream and can flow to the brain.