Question

Looping through each id retrieve value of objects in 1 dimentional array and 2 dimentional array

New to jQuery.. 🙁

Answer 1

First of all use class instead of ID, id is unique per page… regarding your needs:
Actually you need somehting like that:

var data = []
$(document).ready(function(){
    $('.both').each(function(){
        ta = $(this).children('textarea').val();
        cb = $(this).children('input:checked').val()
        data.push({t:ta,c:cb})
    });
    $.each(data, function(index, value){
        $('body').append('<p>t:'+value.t+' c: '+value.c+'</p>');
    })
})

DEMO HERE