You can surely integrate the carousel that are available and make it a component. Create a dialog to feed the data for those scripts.See if [1] helps you in using radio buttons[1]  https://helpx.adobe.com/experience-manager/using/creating-custom-cq-component-uses.html

Refer [1] to create a sightly template and read values from the dialog [1] https://helpx.adobe.com/experience-manager/using/creating-sightly-component.htmlRefer [2] for multiple taglibs available in Sightly. It helps you to in #2 to loop through all the images and create div[2] https://docs.adobe.co...

check [1] this example to move the assethttps://helpx.adobe.com/experience-manager/using/graniteAPI.html

Use Asset API [1] to get the metadata, renditions etc[1] https://docs.adobe.com/docs/en/cq/5-6-1/javadoc/com/day/cq/dam/api/Asset.html

One of the quick way to check is in /crx/de Select any folder, Click on 'Test Access Control' in ToolsLook at the order in which ACLs are listed and it would follow the same order.

It depends on what is the purpose of Users which we are syncing. If we are using it for authentication, then syncing would be better !

Can you give more details on exception.At what process are you getting this Exception ?? It would be helpful if you provide more error log !

Yes, Captcha is part of a OOB components under 'Form' Grouphttps://docs.adobe.com/docs/en/aem/6-1/author/page-authoring/default-components/components.html

You need to rebuild the package from the folder where you want to install.

why would you need that ??