The following gives you more control over placement, at the expense that it too does not survive export to Word due to Pages translation.
Instead of section breaks, you have more placement control using After Paragraph and placing two columns in a text box. Set text wrap to none on the Text box and your line segments. You can adjust the distance Experience has from the bottom of the Text box by changing the After paragraph setting behind Skill Highlights.
I have used Calibri 16 pt for the headings and 14 pt for the bullet text. There is a 72 pt After Paragraph setting behind Skill Highlights which is the cause of the blue vertical line with show invisibles. You adjust this value to pull or push the distance of the Experience item. When you insert two columns within a Text box, you will not see the column boundaries as you would normally in the document body. Show Layout may help in placement.