Check if you are getting any errors in the Browser console. Check for any errors in the logs files? I would recommend tailing the error.log when you perform these operations.
This is proivded OOTB by brandportal. You can read more at [1]NOTE: Brandportal requires a different license than AEM.[1] Apply image presets or dynamic renditions
Sling dynamic include[1] is your best choice if only some part of the page is dynamic but if the whole page is generated dynamically, you can look into thread/heap dumps and increase CPU/Memory based on the results.[1] Set up Sling Dynamic Include
Mod_rewite is one of the many modules that is installed on apache. You can look at [1] on enabling logging for rewrite module.[1] https://stackoverflow.com/questions/9632852/how-to-debug-apache-mod-rewrite