Hi,
found these problems

Multiples JQuery Framework and javascript errors (PARTIALLY SOLVED)
In your site there are multiple instance of jQuery Library.
When you load many instance of this library your site load ~120Kb weighs more and create possible conflict for each instance.
From Joomla 3.x the best way to use the jQuery is load this with the Joomla Built in library to avoid conflicts.

Component/Modules that load unnecessary JQuery Framework
1) mod_jp_floatingsocialcontact_sidebar load the second library. I have disabled to load jQuery from Module options (SOLVED)
2) Template load own JQuery Framework[/b] in a bad way, Joomla 3.x have API for this. You need to contact Your template provider to fix this ASAP otherwise all javascript functions will not work well. (NOT SOLVED, this is very very important)

Why the module/templates load this library? Because many module/templates have a compatibility with J2.5. This old Joomla version don't have jQuery Support

Template javascript problems (NOT SOLVED but this is not important)
In this template there is a javascript error, this not depend from your site but is due by template, for example when I go to demo of this template then I get same error (see screenshot). You should report this issue at your template provider

Layout problems (SOLVED)
This template not load Bootstrap classes, so we have enabled from Easy Profile options the parameter called "Load Bootstrap CSS", we have also added following code at the end of file templates/aaika/css/style.css to fix some minor issue with your template

.login, #easyprofile, div.registration, div.profile-edit{margin-top:30px;}

.login input,#member-registration input,#member-profile input{box-sizing: content-box;}

#profile_tabs li a{padding:10px 10px;}

#easyprofile .list2 li{line-height:normal;}

#easyprofile .list2 li .icon-edit{background:none;padding:0;color:inherit !important;}

K2 User Profile (SOLVED)
Your site load registration/edit profile pages from K2 component (not Joomla). Registration with K2 is very very bad because it load their fields by System Plugin and not with Users Plugin and Joomla JForm API. To solve this I have disabled K2 user profile from Administration->Components->K2->Parameters->Advanced tab->Enable K2 User Profile parameter.