Custom integration don’t work

I’m trying to integrate Mailchimp with third-party form. So I’m insert the following code in the form:
<p>
<label>
<input
type = “checkbox”
name = “mc4wp-subscribe”
value = “1”
>
Subscribe to our newsletter.
</label>
</p>
But when I’ve submit my form it’s do nothing. At Other Settings of plugin I’m logging everything and noone log message is arrive. I see only “– Nothing here. Which means there are no errors!”
I’m use the plugin for Contact Form 7 integration too, and it works well.
My simplified form code:
<form
name=”booking_form”
>
<div>
<div>
<label>
<input
placeholder=”Email”
name=”email”
type=”email”
>
</label>
</div>
<p>
<label>
<span>
<input
type=”checkbox”
name=”mc4wp-subscribe”
value=”1″
>
<p>
I’d like to receive news and updates
</p>
</span>
</label>
</p>
<input
type=”submit”
value=”proceed”
>
</div>
</form>

Why Mailchimp don’t work in that case?

Please help!