コード

<input type="text" name="chara_name" value="" >
<input type="text" name="skill_name1" data-type="skill" value="" >
<input type="text" name="skill_name2" data-type="skill" value="" >
<input type="text" name="skill_name3" data-type="skill" value="" >

    area.find('セレクタ1,セレクタ2').autocomplete({
        source: function(request, response) {
            const text = request.term;
            const hit_list = [];
            if(this.element.attr('name') === 'chara_name'){
                処理
            }
            if(this.element.data('type') === 'skill') {
                処理
            }
            response(hit_list);
        },
        autoFocus: true,
        delay: 200,
        minLength: 2
    });