How do i handle the lawsuit? What are my next steps after receiving the summons? I need a lot of legal advice.

I agree. See a lawyer quickly. If you don't make a competent appearance at that hearing, you may end up looking at a judgment that goes far...

When is the landlord legally supposed to have my apartment ready for my child and I to move in?

I assume the first day of the lease term is set out in the lease. The landlord was required to have it habitable by that date.

What can i do to avoid being suied and how can he accept a payment that i agreed on and now he is trying to sue me

You need a lawyer. There are many questions for you to answer, but it sounds like you have at least a partial defense to the actions the lawyer is...

If he got a judgment against you, he can do it.

Does my wife have any legal ground to terminate her contract? Did the owner violate a landlord /Tennant act or quiet enjoyment c

Get a protective order. Then, if they come near you, and you call the police, the police will have to take action.

As a renter, what can I do?

Send a written notice telling that, if he has not fixed the heat in five days, the lease is terminated.

Can an apartment manager charge you to get your packages?

Check with the post office to see if this is legal.

Is that grounds for a wrongful termination lawsuit?

I'm sorry, but I don't see a viable case here, especially given that their statement to you was probably oral and, therefore, easy to deny.

You must sue the landlord. Did you send a written demand for your deposit? Has 14 days passed? If so, you may get treble damages.

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What are my legal options? Where do I send legally?

You've done everything right so far, but I suggest consulting with a lawyer if you hear from them again.