If a kid sneaks into your yard and is injured, you will not be off the hook, even though the kid was trespassing.Having said that, I'm sure there are some markets where pools are expected.

What if someone is injured an sues me?

Lately I've been pretty lazy with an injured back, getting much better and will be out again later on.

Don't want to read too much into your post but if you are injured/sick I wish you well and hope you get better. 

It provides liability insurance for them, which could also be considered a buffer for your own liability coverage in the event someone is injured on the property. 

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

Yes, please be careful Pandu...I was really injured from chlorine use in the past.Good luck on this one, you are a brave man!

What if tenant gets injured while mowing the lawn can’t go to work and can’t pay the rent it’s a worst case scenario but something to consider..

She used to work in excess of 50/week before she was injured on the job (as a bartender) and had back surgery.

As far as I understand, the tenant can claim against the landlord if he/she got injured within the property for some reasons.