Hello. Thank you for contacting the Toolset support.
Well - I need to review your current setup to see whats going wrong there.
Could you please share problem URL and access details.
*** Please make a FULL BACKUP of your database and website.***
I would also eventually need to request temporary access (WP-Admin and FTP) to your site. Preferably to a test site where the problem has been replicated if possible in order to be of better help and check if some configurations might need to be changed.
I would additionally need your permission to de- and re-activate Plugins and the Theme, and to change configurations on the site. This is also a reason the backup is really important. If you agree to this, please use the form fields I have enabled below to provide temporary access details (wp-admin and FTP).
I have set the next reply to private which means only you and I have access to it.
Well - I see that you are using Ajax loading with the view that is not recommended to use when using Beaver Builder so I changed the setting to "Reload the page to update the View results".
well - update URL option supported when you have AJAX view enabled and as you already know the limitation that you should not use the Ajax search view when using beaver builder hence it is not possible.
Well - Toolset does not offer any hook or shortcode to disable the +- buttons.
I changed the theme and those +/- buttons were not available so it seems that the buttons coming from your theme. I suggest contacting your theme support (Genesis) and ask them to guide you with the available hooks to remove the +/- buttons available just beside the quantity input.