Hello Leonids,

I tested on several browsers and 3 templates.
But I understand thanks to your explanation why you do not see it, you have probably checked "Remove Friend" in "menu navigation, me it is unchecked.
See the two screenshots below, this problem does not appear on the /persons-search page
On the page /persons-home the result is ok, whatever the configuration in Navigation builder, all thumbnails are aligned at the top.

For point 2, please test the behavior difference, on the / persons-search page, if you make a friend request or if you delete it or cancel, it resets the search, I want say that the page is refreshed, unlike the page persons-home or it is only the button that changes.