kaminari：もっと見るボタン

###実現したいこと
gem kaminariを活用して、表示するpostの数を限定したい。
また、一番下に出てくる「もっと見るボタン」を押すと要素が増えていく設定行いたいです。
こちらのサイトを参考にしました。
https://qiita.com/rainbow___0/items/06b231273b3ae56761c8

※諸々進みましたので、一番最初の質問から修正した最新状況に書き加えました。
###エラー
なし
Postが3つ表示されますが、Moreボタンを押しても、表示数は増えません。

###コード

gemfile
1gem 'kaminari'

app/views/items/index.html.erb

view
1<div id="items">
2  <%= render 'items' %>
3</div>
4<%= link_to_next_page @items, 'more', remote: true, id: 'more_link' %>

app/views/items/_items.html.erb

view
1<% @items.each do |item| %>
2  <div><%= item.name %></div>
3<% end %>

app/views/items/index.js.erb

js
1$('#items').append("<%= escape_javascript(render 'items', object: @items) %>")
2$("#more_link").replaceWith("<%= escape_javascript(
3  link_to_next_page(@items, 'more', remote: true, id: 'more_link')
4) %>");

app/controller/items_controller.rb

Controller
1def index
2    @items = Item.all.page(params[:page]).order(created_at: :desc)
3end

Model
1paginates_per 3

Moreボタンを押した直後のログ

log
1Started GET "/posts/index?page=2" for 127.0.0.1 at 2019-12-03 23:28:01 +0900
2Processing by PostsController#index as JS
3  Parameters: {"page"=>"2"}
4  User Load (0.2ms)  SELECT  "users".* FROM "users" WHERE "users"."id" = ? LIMIT ?  [["id", 2], ["LIMIT", 1]]
5  ↳ app/controllers/application_controller.rb:6
6  Rendering posts/index.html.erb within layouts/application
7  Post Load (0.4ms)  SELECT  "posts".* FROM "posts" ORDER BY "posts"."created_at" DESC LIMIT ? OFFSET ?  [["LIMIT", 3], ["OFFSET", 3]]
8  ↳ app/views/posts/_items.html.erb:1
9  User Load (0.2ms)  SELECT  "users".* FROM "users" WHERE "users"."id" = ? LIMIT ?  [["id", 1], ["LIMIT", 1]]
10  ↳ app/models/post.rb:16
11  CACHE User Load (0.0ms)  SELECT  "users".* FROM "users" WHERE "users"."id" = ? LIMIT ?  [["id", 1], ["LIMIT", 1]]
12  ↳ app/models/post.rb:16
13  CACHE User Load (0.0ms)  SELECT  "users".* FROM "users" WHERE "users"."id" = ? LIMIT ?  [["id", 1], ["LIMIT", 1]]
14  ↳ app/models/post.rb:16
15  CACHE User Load (0.0ms)  SELECT  "users".* FROM "users" WHERE "users"."id" = ? LIMIT ?  [["id", 1], ["LIMIT", 1]]
16  ↳ app/models/post.rb:16
17  CACHE User Load (0.0ms)  SELECT  "users".* FROM "users" WHERE "users"."id" = ? LIMIT ?  [["id", 1], ["LIMIT", 1]]
18  ↳ app/models/post.rb:16
19  CACHE User Load (0.0ms)  SELECT  "users".* FROM "users" WHERE "users"."id" = ? LIMIT ?  [["id", 1], ["LIMIT", 1]]
20  ↳ app/models/post.rb:16
21  CACHE User Load (0.0ms)  SELECT  "users".* FROM "users" WHERE "users"."id" = ? LIMIT ?  [["id", 1], ["LIMIT", 1]]
22  ↳ app/models/post.rb:16
23  Rendered posts/_items.html.erb (14.6ms)
24  Rendered posts/index.html.erb within layouts/application (37.3ms)
25Completed 200 OK in 129ms (Views: 100.7ms | ActiveRecord: 1.3ms)