1. No.
2. No.
Not enough? Okay, here's some more information.
Adverbs are often used after the action that it modifies. He trod heavily on her foot. I doodled aimlessly.
For nouns and adjectives, I'm assuming you mean immediately after, not in uses like "He is happy" or "The mug is red," in which they are linked by a verb. This is more rare, but certanily can happen, as in "The dancer wore a bright costume, red and blue in color, as he lept nimbly across the stage."
There are also set nouns in which the adjective follows, like mother-in-law, attorney general, president elect, or court martial. These can create confusion for people when forming the plurals -- but remember, it's the main noun that gets the plural, as in attorneys general or sisters-in-law.
I thought this was a pretty good description: http://www.anindexer.com/about/adj/adjindex.html