"Can I approve a DRC error so that it won't show-up as an error?"
Not permanently. You can choose to ignore it with each run of the DRC but it will reappear the next time the DRC is run.
"How can I set a keep-out area?"
There's a topic about this on a multilayer PCB but I can't find it right now.
This one covers most of the subject:
[https://easyeda.com/forum/topic/Clarity-needed-on-keep-out-areas-within-Solid-Region-copper-pour-75b74194d77d42279e95615f2dc84158](https://easyeda.com/forum/topic/Clarity-needed-on-keep-out-areas-within-Solid-Region-copper-pour-75b74194d77d42279e95615f2dc84158)<br>
<br>
and you can check the state of the art for any updates in the Updates Record section and in the Tutorial.
Here's the stuff about a 4 layer board with a keepout in the footprint:
[https://easyeda.com/forum/topic/No-Solid-keep-out-on-ALL-layers-a0873d5af9f341fbabdfa5768b985e58](https://easyeda.com/forum/topic/No-Solid-keep-out-on-ALL-layers-a0873d5af9f341fbabdfa5768b985e58)<br>
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[https://oshwlab.com/andyfierman/demo-of-footprint-with-4-layer-no-solid-regions](https://oshwlab.com/andyfierman/demo-of-footprint-with-4-layer-no-solid-regions)
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