These are not supported for paths but there are wildcard characters that can be used with other predicates like * , %

What Jörg mentioned is correct. Page gets cached but since cookie is getting created dynamically. You have to follow either of the shared two solution by him to make it work.

1. is it happening for all components?2. Can you share component html code snippet?

If its just banner, i don't think you need dynamic media to achieve itUse a javascript slideshow/carousel plugin and with authorable images via dialog

Here is the link from 6.3 helpx- https://helpx.adobe.com/experience-manager/6-3/sites/developing/using/components-basics.html

You will be getting exception in error.log. Best place to start from here I think

Can you provide more information, I don't it will help anyone to understand the issue.Screenshots or more detail description will be helpful

Yes,Use sling resource merger concepthttps://helpx.adobe.com/experience-manager/6-2/sites/developing/using/sling-resource-merger.html

Should be able to achieve it with query builder tag predicatehttps://helpx.adobe.com/experience-manager/6-3/sites/developing/using/querybuilder-api.html

It has been documented here in helpx under Request Attributes sectionhttps://helpx.adobe.com/experience-manager/htl/using/block-statements.htmlSample code<sly data-sly-use.settings="com.adobe.examples.htl.core.hashmap.Settings"        data-sly-include="${ 'productdetails.html' @ requestAttributes=se...