I checked almost all the plugins but it is not working. May be it is a version conflict between plugins and theme.
You are not getting the plugin update notice because here you have to login so that it will hit on our server to check the version:
http://prntscr.com/rum9dk
Manual Method
you can install the plugins manually from ftp or cpanel also .
Just upload all the plugins in your wp-content/themes/wplms/plugins folder in your wp-content/plugins folder .
then just simply unzip them.
Right now I am unable to access your site. If you can share your cpanel credentials then please do share and make sure to have a backup of your site
Mark your reply as private while sharing the credentials