Hello Ilia.

1. Sure, here's how to do it:

If you want the charts to follow table filtering, then both the page and the chart need to be displayed on the same page. Also, for the filters to be shown, the table must be present as well.

Anyone who knows CSS will be able to still display the table if they were to inspect the page, and simply change the properties.

Since you need to show the filters, a simple CSS like this would not be useful, because it'd hide the filters too:

.wpdt-c .wpDataTables.wpDataTablesWrapper {
display: none !important;
}

So, instead you would first need to disable the following in table settings:

"Show X entries" drop-down; "Info Block" from Display tab:

"Enable main search block" from Sorting and Filtering tab:

And "Table Tools" from Table Tools tab:

Then, you can hide the table, leaving the filters above the chart like this:

<style>
.wpdt-c .wpDataTablesWrapper table {
display: none !important;
}
</style>
[wpdatatable id=1]
[wpdatachart id=1]

And that's it. This is how you'd create a page where you'd have Chart #1 dependent on wpDataTable #1 so it follows filtering, and the table hidden using CSS.

2. Could possibly be done, but I'm not sure if defining the chart's width in Chart Creation Wizard will be enough. Try reducing the width of both charts, and see if they are going to appear side by side. If not, I can take a look if there's anything we can do with some CSS, but I can't promise anything.

Hi again Ilia.

You're welcome. Glad I could help.

Are you using a page builder of some sort? If you are, you can add the builder's widgets side by side, and add the shortcodes in them. That way you can avoid any CSS, and you can customize the look of those widgets from the builder.