Subscribe widget – new post e-mail

But after e-mail input, it not shown the “success message” even if I entered such in widget area.

It seems to work on my end; I see the text after subscribing:
http://i.wpne.ws/br48

Could you give it another try with a brand new email address?

2) After receiving automatic letter, one link is not active (even if other links in letter is)
http://lifeinbigtent.com/wp-content/uploads/2015/07/url.jpg

That also works on my end, in Gmail. The automatic linking is handled by your email client, so I’m afraid we don’t have much control over that.
http://i.wpne.ws/bqz4

3) I tried to see how looks e-mail with response to comments when you want them to follow. I don’t know why it showing another account not me? Mentioned username and me are administrators of my website but posts writing only me and showing him. How I can change it?

Mentioning users won’t help. You’ll need to enable comment threading under Settings > Discussion in your dashboard, and make sure you hit “reply” under the comment you want to reply to. That should do the trick.

4) I want to make some changes to the jetpack subscribing design,

That’s not possible I’m afraid. The emails are sent from WordPress.com servers, and you consequently can’t change the design of the emails on your end.

What would you like to customize?

But now I need to make profile picture?

You can set up an author profile image here:
http://gravatar.com/

Since you created a WordPress.com account to connect Jetpack to your WordPress.com account, you can use that account to log in. As long as the email address matches your email address under Users > My Profile in your dashboard, you’ll be all set!

6) permalink – I checked and everything is correct in my settings, or should i check it somewhere else?:)

I’m afraid you won’t be able to change this. We use numerical permalinks because we don’t know the exact permalink of the post when we send it to your subscribers from WordPress.com servers.
The numerical permalinks should redirect to the full permalink, though. If they don’t, I’d suggest checking your .htaccess file to make sure it includes the necessary redirect rules.

I posted new post and my subscribers got such text in the letter
http://lifeinbigtent.com/wp-content/uploads/2015/07/new_post.jpg

That’s indeed a know issue. We’re working on getting this fixed, and you can follow our progress here:
https://github.com/Automattic/jetpack/issues/869

3) Unfortunately I didn’t find where enable the comment threading
http://lifeinbigtent.com/wp-content/uploads/2015/07/comments.jpg

It seems like it’s already activated. This is the setting:
http://i.wpne.ws/bqnt

I also see a “Reply” button after existing comments, that allow me to reply to specific person:
http://i.wpne.ws/bqxS

Since my 2 comments on your site are pending moderation I can’t show you how comment notification emails work when I click on that reply button, but that should work.

4) I want my subscribing look like this. But I’m not sure if i can make it, like it mentioned “inactive” (picture in previous comment)
http://lifeinbigtent.com/wp-content/uploads/2015/07/subscribe_look.jpg

Oh, so you’d like to customize the design of the subscription form? That can be done with CSS. For example, to add the “Count me in!” button on the same line as the email address, try pasting the following css to your theme stylesheet or to your custom CSS editor available under Appearance > Edit CSS in your dashboard:

.jetpack_subscription_widget #subscribe-email input {
	float: left;
	width: 60%;
}

.jetpack_subscription_widget #subscribe-submit input[type="submit"] {
	float: left;
	padding: 0.65em 0.1em;
	width: 40%;
	margin-bottom: 3em;
}

Here is how it looks:
http://i.wpne.ws/bqxl

Of course, you’re welcome to adapt the code to fit your needs!

5) I never created account in Jetpack, the guy, who helped me with launching, did all the main things (installed Jetpack and etc.).

If that’s the case, you’ll want to create your own account using the email address listed under Users > My Profile in your dashboard.

4) unfortunately in stylesheet there is no “jetpack” even word, what I did went to plugins subscription css.
http://lifeinbigtent.com/wp-content/uploads/2015/07/subscriptions.jpg

I deleted what is written now, and putted your suggested codes, but nothing in my website changed:( so I copied the original code version back

I would strongly recommend against editing plugin files. If you do so, your changes will be overwritten in the next plugin update.

Instead, just add custom CSS at the end of your theme stylesheet, or in your custom CSS editor.

how to create only profile:)

Here is a direct link to only create a profile:
http://en.wordpress.com/signup/?user=1