CMSHelpLive

This may be due to any plugin. Uninstall each plugin one by one and find the culprit one.

1. Yes you can move the current files of server in a folder.
Yes you can move the localhost site to the server without loosing anything, for this install BackUpWordPress Plugin to take a backup of your localhost site:
https://wordpress.org/plugins/backupwordpress/

After installing it,
a. Take a manual backup of the files and database both. Unzip this and move all the files to the server.
b. Create an database and import the databse from the unzip folder.
c. In the root you will see a wp-config.php file, Update database information in it.
d. In database, open wp_options table, update home and site_url information.

Just create a Backup of your site. It will restore all content from your existing site(users, images, posts, pages and database). You can use BackUpWordPress Plugin for this:

https://wordpress.org/plugins/backupwordpress/

Put the code for search form out side of

tag. So that it will appear something like that:

<div class="menu-custom-menu-container"><ul id="menu-custom-menu" class="nav-menu"><li id="menu-item-63" class="menu-item menu-item-type-custom menu-item-object-custom current-menu-item current_page_item menu-item-home menu-item-63"><a href="http://creativevegancooking.com/">Home</a></li>
<li id="menu-item-61" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-61"><a href="http://creativevegancooking.com/recipes/">Recipes</a></li>
<li id="menu-item-64" class="menu-item menu-item-type-custom menu-item-object-custom menu-item-has-children menu-item-64"><a href="http://creativevegancooking.com/about-cvc/">About</a>
<ul class="sub-menu">
	<li id="menu-item-57" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-57"><a href="http://creativevegancooking.com/about-cvc/">About</a></li>
	<li id="menu-item-59" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-59"><a href="http://creativevegancooking.com/about-cvc/rules/">Rules</a></li>
	<li id="menu-item-58" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-58"><a href="http://creativevegancooking.com/about-cvc/work/">Work with Me</a></li>
<li id="menu-item-60" class="menu-item menu-item-type-post_type menu-item-object-page menu-item-60"><a href="http://creativevegancooking.com/contact/">Contact</a></li>
</ul>
</li>
</ul>

<div class="menu-item-search"><form method="get" class="menu-search-form" action="http://creativevegancooking.com/"><p><input class="text_input" type="text" value="Click Enter to Search" name="s" id="s" onfocus="if (this.value == 'Click Enter to Search') {this.value = '';}" onblur="if (this.value == '') {this.value = 'Click Enter to Search';}"></p></form></div></div>

Now add the following CSS in your stylesheet:

.main-navigation ul.nav-menu, .main-navigation div.nav-menu > ul{
display:inline!important;
float:left;
}
.menu-item-search{
display:inline;
float:right;
}

If you have ftp details, then you can check the wp-contents or Themes folder write permissions.

Images, articles, and categories will be migrated using this plugin. Articles under any category will be added as posts and the uncategorized articles are added as pages.

Not working. Giving me following error.
“Uh-oh, something went wrong! Error Code: 403”

Of course you can edit a site without using maintenance page, but you have to login into dashboard to make those changes.