lake lila picnic tables and outhouses?

Hi. I have never canoed Lake Lila but my husband and I are planning a trip shortly. I know it says the sights are primitive. When we primitive camp, we have nothing--no picnic tables or outhouses but I'm wondering if Lake Lila's sites do have these amenities. Also are there any sites with a nice swimmable beach area. My 7 year old is coming too and it would be nice for her to have a place to play when we are not canoeing