Laptop isn't charging or switching on.

Hi,

Perhaps the battery has been depleted too far to start the laptop because you can’t charge the laptop correctly.

If the charger feels loose in the charge port, there may be a problem with the DC-In jack.

Here’s a link that may be of some help.

Can I replace the DC-in jack?

The DC-In jack part item shown in the supplier link is no longer available from that supplier, but if you decide to repair it yourself just search for DC Jack Charging Port for Acer Chromebook R11 to find other suppliers that suit you.