Nestboxes are made at your craftsdwarf's workshop. Build a few and place them in a pasture with your poultry. (Pasture is not necessary, but it's easier not to have the birds swarm your fortress.)
Alcohol is brewed at a still out of a variety of crops. You have probably brought the seeds for the six underground crops. Four of them can be brewed (plump helmet, sweet pod, cave wheat, and pig tail). Also, many of the outside plants can be brewed:
http://dwarffortresswiki.org/index.php/DF2012:CropFirst you have to make some farm plots (b - p) on digged out soil, clay, peat, or sand (those need no irrigation). Make a 2x2 or so plot for any of your seeds. When the farmer has made them, q over them and choose the appropriate plant on each spot for every possible season.
Make seed stockpiles with no barrels allowed near your farm.
The farmer will plant the seeds and after some time the first plants will appear and get harvested.
You will need a food stockpile with barrels allowed for food and for alcohol.
Build a still. For brewing you need barrels (made of wood at a carpenter's workshop) or large pots (made of stone at a craftsdwarf's workshop; they can also be made of clay, metal, and glass, but that's for much later ... ).
You can also brew plants you have gathered in the area around your fortress (d - p). This will not be much, but some nevertheless. All berries can be brewed, also longland grass and some other plants.
To make use of the eggs they need to be cooked into meals. You need a kitchen. Also, on the z screen under "kitchen", toggle your alcohol to non cookable to avoid that the precious booze would be used for cooking.