fig.01: This could be achieved by placing the two elements together in a stack and then adjust the position of the text/image via right click → spaces and offset → y-offset.
fig.02: Just use a stack and group the contents together that way. If you just want total control and freedom I’d go for the Fullscreen Slider. It’s a bit more flexible. You can just place two or more images in one slide, using the gridder rows for your layout.
The Carousel on the other hand is more like a simple one-image-at-a-time classic slider. But you are able to configure the carousel to realise fig.01 as well as fig. 02 in the addon’s options. Unlike the Fullscreen Slider there is no need to stack elements and adjust the y-offset to get that look.
It sounds like that you would be better off with the Carousel Addon. If you could provide a sketch/draft or link to a site to show what you are trying to achieve it would be much easier to recommend one or the other, though.
Hope that helps!