We have a 41 unit apartment complex, and our insurance was about 12k per year for an ACV policy, but last year we were hit by a bad wind and hail storm which caused us to have to file a claim for the roofs and some AC units. 

Not sure that is the case in NJ but just like you have to file your address for service of legal papers as a rental some states require business to have a physical address.

You are the landlord , tell her rent is due , file for eviction once its overdue .

It's "Notice of lis pendens" and it basically means that there's been a lawsuit filed against the property usually when there's title dispute.As an investor, don't get emotionally attached to properties because it will end up costing you more money when you can't just walk away.

This would only apply to individuals whose income exceeds $400K (filing single) or $450K (filing jointly)oMy account balance is nowhere near this now; why are we all investing?

If foreign trust, you may have a 3520A filing requirement which needs to be filed with the IRS annually ($10,000 penalty if not filed).

What if the manager that is sued is NOT the person who was the filing party for the 2nd LLC and the membership is  50/50.   

There is also risk of divorce, bankruptcy or other unexpected life problems, so you need a contract to protect yourself.I would have suggested loaning him the money, but most mortgages have requirements that down payment cannot be from borrowed funds.I am honestly surprised that he can't do this deal on his own.

What does it mean to have a composite tax return filed in another state by the syndication/ syndicate?

Also - depends too on the states they're investing in too and if you want to potentially file in those states and increase the complexity of your return.