To get the coordinate system of your table use the following:
SELECT ST_SRID(the_geom) FROM your_table_name LIMIT 1;
For your second question, I am not sure if EPSG:4283 is by default defined in spatial_ref_sys table. In case it is not, you can use a INSERT command. This definition is from spatialreference.org:
INSERT into spatial_ref_sys (srid, auth_name, auth_srid, proj4text, srtext) values ( 94283, 'epsg', 4283, '+proj=longlat +ellps=GRS80 +towgs84=0,0,0,0,0,0,0 +no_defs ', 'GEOGCS["GDA94",DATUM["Geocentric_Datum_of_Australia_1994",SPHEROID["GRS 1980",6378137,298.257222101,AUTHORITY["EPSG","7019"]],TOWGS84[0,0,0,0,0,0,0],AUTHORITY["EPSG","6283"]],PRIMEM["Greenwich",0,AUTHORITY["EPSG","8901"]],UNIT["degree",0.01745329251994328,AUTHORITY["EPSG","9122"]],AUTHORITY["EPSG","4283"]]');
Now use the ST_Transform(the_geom,4283) command.