I'm so sorry for not getting back to your other post! Not sure how or why that was missed, but we'll try to get you going with your questions now.
First, for the two Facebook plugins, you have the "kid_directed_site" setting as "true". That setting should be enabled when your site is targeting (as at least some of the audience) children under 13 years of age. If that's not the case, you should turn off those settings. With that said:
1) The reason it's being hidden when you are logged in is because Facebook can't verify the age of the user. Because of that, it's simply not showing the button.
As for the text that's displayed, there isn't a way to alter that. You may want to try one of the other layouts, like box_count, which may have a different/better layout that you're looking for.
2) The Follow button is only meant for Personal user profiles. It can't be used with Pages. You may want to try the {JFBCFan href=https://www.facebook.com/gmit.su1} tag. That will show a Like button, you recent admin posts to your stream, and user avatars who have Like'd the Page.
3) You can't remove "followers" from it. In general, the social sharing widgets are all hard-coded by the social networks. They try to prevent a lot of modifications specifically so you can't alter the looks too drastically. The reason is that they want a uniform look across all sites for familiarity, but also to prevent abuse. If users could completely alter the looks of the buttons, they could abuse the buttons to trick users into clicking them unknowingly.
Here, again, you may want to consider the bigger box-count layout with the following tag:
{SCTwitterFollow username=GMITSU size=large}
I hope that helps explain some things, but if you need anything else, just let me know.
Thanks,
Alex