Hi Alain
Let me describe the solution to the last point which should cover what you need to know about the others.
First, just let me clear up the difference between post parent filter and post relationship filter.
WordPress posts can be hierarchical, like pages. Parent and child posts are of the same post type.
Toolset expands this concept to allow you to create post relationships between posts of different types.
The first is what the post parent filter refers to, the second the post relationships filter.
Now, to display a list of parent posts (canvas) and for each of these show how many child posts (experiments) it has, you need a nested loop.
First, make the inner View for the child posts.
So your View will return experiment posts.
You add a post relationship filter that says Select posts that are children of the current post in the loop. (When we insert this View into the outer View the current post in the loop will be each iteration of the parent canvas post.)
Now in the Loop Output section you need to use the wpv-found-count shortcode (https://toolset.com/documentation/user-guides/views-shortcodes/#wpv-found-count), something like this:
[wpv-layout-start]
[wpv-items-found]
<p>Number of child posts: [wpv-found-count]</p>
<!-- wpv-loop-start -->
<wpv-loop>
</wpv-loop>
<!-- wpv-loop-end -->
[/wpv-items-found]
[wpv-no-items-found]
<p>No child posts</p>
[/wpv-no-items-found]
[wpv-layout-end]
That completes the inner View.
Now create the outer View which lists the parent canvas posts.
In the Loop Output section insert the child View we just created (using the Fields and Views button) wherever you want the count to show.
That's pretty much it.
If you have any problems implementing it, let me know.