I think the first issue is because the list is using masonry. Does it go away if masonry is turned off?
WPSP uses the standard WP content functions to output content. Plugins filter those functions to automatically place their things (like social icons). You’ll want to turn off the automatic placement of those icons and manually add them using a hook/function instead.
2) ok. I tried to place the social share buttons “after content” but I have already a WPSP list there and the social share is shown below. Is there a way to trigger which “after content” is shown first? For now I have placed the social share “after entry header”.