Tenant states that she got injured at work and out on work comp awaiting payments.

Imagine if someone gets sick or injured.  

They file the lawsuit, anyway, because they know you will pay money to settle through mediation to avoid your having to pay your own attorney up to $400,000 to prepare to go to a jury trial and then they know that even if the Plaintiff wins only $1.00 you will have to pat the Plaintiff's attorney and that could be another $400k.If you don't think this can happen to you, then you are 100% wrong because when a lawn mower's employee is injured even when working for another customer and that employee sues his boss then you had better be prepared with EPLI insurance because YOU WILL BE NAMED IN THE LAWSUIT and that means you will be sued and you will need to retain an attorney.

Liability claims (a person injured, permanently scarred, or killed on your property) are in the hundreds of thousands, and often exceed $1M in the case of a wrongful death.

I can see, but it hurts my injured brain to read. 

The person you injured can go after your LLC and the LLC's assets because you are the owner of the LLC and therefor, the LLC and it's assets are your assets.

If someone injures themselves and sues, they will be suing the LLC and not you personally.

If someone gets injured they might try to turn it on you.

The Defendant swerves out of his lane going around a corner and hits another vehicle injuring the plaintiff fairly badly. 

I had an IRA owned house burn down a few years ago and thank god no one was injured.