What are my rights as a tenant if AC was included with my apartment, but when it broke, it was not fixed for 1.5 months?

You would have a claim for breach of contract, perhaps habitability.

My landlord is refusing my rent checks, she refused August, appears to refuse September, is she in breach of our lease?

Call a lawyer at this point. There's too much going on to answer you on this platform. Your landlord isn't breaching the lease, but she has broken...

Can a landlord ban a non tenant (adult mentally ill and drug user son of a tenant) from visiting the property?

Yes, if you as landlord feel that someone is or could damage property, you can take action. Which action depends on the circumstances, but calling...

Can I be evicted for not paying a late fee for one month I was late paying rent?

Late fees are allowed if kept within reason so yes, they can charge and evict on such fees.

I just found out that the place i was renting is zoned for commercial and not resetinal what can i do

Contact a lawyer ASAP. You do have rights but it's too long to list here.

Why may an attorney both sign and verify a Complaint for Unlawful Detainer (UD-100) ?

Good practice says the client should sign off on a verified complaint, but the attorney can sign too. Why? Because the legislature made it so....

Is there anything I can do to dispute the situation besides moving?

You can demand a rent abatement for constant water shut off. Not having water is a habitability issue so you have more rights.

Yes, the landlord has that right. It's based mostly on city ordinances so you can use the garage as normal as long as you follow city ordinances on...

Can I live and work in a commercial office space ?

If it's zoned for both commercial and residential, then yes you can live there.

Tenant changed lock to his room.

You aren't liable for what he does to his own room. You do have a right as landlord to have a copy of the keys, however.