Besides military orders, are there any other legal ways to get out of an apartment lease without penalties?

Yes. https://tpf.legal/how-to-break-my-lease The issue here is whether or not what you're going through warrants an early termination of lease....

What happen if i don't sign new 6 month lease, husband said he signed , he is insisting i have to sign it soon or leave

I agree with Patrick signing the lease is a bad idea. I also tagged your question as family law so family lawyers can further advise.

How can I get my security deposit with a verbal month to month lease

A landlord must still comply with security deposit return rules even if the lease is oral. A landlord who does not comply with the rules can be...

Do u think I can get credit for this case on my rent bill?

You're essentially alleging that you are suffering back pain because of your landlord's negligence. Your landlord won't give you any credit for...

I want to know can i still get put out

What do you mean by "absolute eviction?" Do you mean that you do not have tenant's right of redemption?

Demand letters can be very effective. I have used them to get my clients what they want on many occassions. However demand letters are not...

Can I only sue for reimbursement AFTER I have paid their portion of the rent or can I also sue for the remaining months of lease

Does your lease say who is responsible for what portion of the rent? If not then there is a good argument than you can be held liable for the...

What can I do if there is anything I can do?

I'm unclear what happened at court so it's hard to tell what your remedies are. Consider contacting an attorney and showing him or her your court...

What types of options do I have in this situation?

You can get a judgment for possession against your mother to ultimately evict her. Based on these facts I think the proper cause of action is...

What are my rights when it comes to this situation?

You may be able to get an injunction against your landlord to prevent him from showcasing your private stuff on the Internet. Before it gets to...