My initial plan was to just get a Delaware LLC and pay the foreign entity fee for each state in which I did business.

Not sure if someone can come after foreign assets in case of lawsuit.They have a bank account in USA.Is this as simple as paying full cash- hiring a property manager and getting rent checks in their bank account? 

Any advice for foreign investors in Korea or anything that I have to beware of (contracts or practice or law)?

First check with your favourite Chartered Accountant to see if a LLC will get you in trouble with Canada Revenue.

I want to get the NZ process right and get a few houses under my belt before dipping into foreign investment.

We are from Canada, which, as a foreign investor, presents it's own difficulties and frustrations, but nothing we aren't going at, head on.We recently decided that Memphis is going to be the market in which we hammer down on. 

Hi/I am foreign investor & I live abroad I would like to buy rental property in the US,but i heard about  tenants who sue their foreign landlords for any issue/so,is syndication with earning between 25% and 50% distributable cash is good alternative? 

Cash buyers and foreign investors scoop up houses faster than you can blink.

If you elect to register your LLC in another state, then you would want to register that LLC as a "foreign entity" in Indiana

Is my wife going to be happy living in a foreign state with no beach and year round 70 degree weather.