I've had my nose pierced three times and the only time it's ever bled was when I caught it on some fabric and it really, really got a hard yank. Even then it didn't bleed very much. So perhaps go back to the place you got it pierced and ask them about it.
Yes.
Swelling is normal for a new piercing.
Bleeding after getting a new piercing is normal; a piercing is technically an injury & your body will (usually) heal.
The size of a normal earing.
Your nose may be dry. This is not normal. Buy a humidifier and seek doctor.
It is called a nose piercing.
It sounds a bit worrying. You should probably keep an eye on it.
Yes, you can use ear piercing cleaner on a nose piercing.
Yes, you don't bleed a lot when you get a piercing.
No no, all you need to do is to clean your piercing after you're done since sweat gathers bacteria rather quickly when not dried. Bleeding happens when you remove and re-insert the piercing wrong, otherwise you should be fine.
your nose piercing should effect you in no way when you eat.
no prodigy doesn't have a nose piercing