What is the best legal form to fill out against the defendant to receive the necessary compensation?

You need to file a complaint in the Superior Court of NJ. I see that you are in Spring Lake, NJ, so I assume the accident took place in Monmouth...

I was involved in a car accident with multiple injuries

Need more facts but most likely. Definitely talk to an attorney as soon as possible.

Who vehicle 1 can sue in this case? how many plaintiffs and defendants in this case?

Vehicle 1 can sue Vehcile 2 and Vehciule 3; vehicle 2 will likely sue vehicle 3

What I would like to know is can I sue my landlord because of the accident

Most likely but need more information such as exactly where you fell, what did you step on/ trip over, as well as look at lease.

Under what circumstances can one include a landlord when filing a personal injury against property mgmt/condo assoc?

Depends where exactly you were injured and how you were injured. Without knowing more, easier to name someone in the suit then trying to add them...

My 2 year old daughter involved in car accident...

That is a question the doctors would have to answer. However, if the doctors can make the connection b/w the accident and her processing...

You can sue. You have 2 years from date of injury. However, if city or any government body is liable, will need to send that entity a Tort Claims...

I was injured in a casino dance club 2 years ago. I have a permanent scar.

You only have two years from the date of the injury to file suit against the casino. Aiming you still have time, you have major liability issues...

Hope your daughter is feeling better. Hopefully you filled out an incident report and got a copy. If so, there insurer should have called you. ...

My 79-year-old mother was seriously injured while entering a theater surrounded by a crowd with uncontrolled children.

I hope your mother recovers nicely and is feeling well. On the face, it seems your mother has a very strong case against theater. O would...