Will I have to pay for a pet deposit if it does not state addendum in lease?

yes, if that is the only way you can keep a pet in your apartment.

I just won a big judgment against an LLC. Can I file an abstract of judgment against the members of the LLC?

You can only file the abstract exactly as it was captioned in your lawsuit.

Can the landlord still file write of possession 30 days later?

If the Writ was issued, it may still be good as some Courts allow 75 days from the date of judgment to allow the landlord to request its issuance.

In 2014 I had a judgement filed against me with Portfolio Recovery for a CC debt. I lived in Missouri at the time.

as stated previously, best to try to settle with them, or enter into some type of payment arrangement with them.

If I paid rent that the judge gave judgement for can my land lord still file writt of poession ?

Yes if you were evicted at the hearing

if any items in the home are yours or purchased in your name (perhaps, you took out a loan on the washer/dryer) you are entitled to take it with...

If you have until the 3rd to pay Apt rent and the 3rd falls on Sunday. Am i late on the 4th?

As stated, you can pay on the 1st or 2nd to avoid paying the late fee, but yes, if it is not paid by the 3rd then you are late.

Can my landlord legally evict me with only a verbal notice to vacate?

No, you are a guest in the home. You don't have a lease and you don't pay rent.

Can my landlord take away my keys? how long before she evicts me?

if you have not paid your rent, you can be asked to leave with just 3 days notice given by the landlord.

I need to know my legal rights living at an extended stay hotel?

you are not a tenant at a hotel, you are a guest.