I asked the TK company to fix it, and they assured that they will fix.

I can assure you there is no rush to get started.  

Private lenders are free to do something stupid, like lending a down payment or lending to someone with no skin in the game; but this high risk lending combined with their obvious lack of experience and or financial acumen, would almost assure a loss leading to withdrawal from ever making this type loan again.If you have a rich or even moderately well off uncle, preferably with no children of his own, he may be interested in making you a “down payment, no equity” loan.

This will not increase your federal tax compliance fees but you will need to file a NY LLC report and pay a small fee. 

First of all, if you are using fixed rate debt, you are almost assured to come on top if inflation goes up, even a little bit.You can also protect yourself by not signing long-term leases. 

Too many people use it today and what you think it means will assuredly be different from the definition of some of the people you will talk to.  

Assure you have great investment advisors as well, not merely a great real estate agent.

Especially saying a loud and assured NO to the inlaid marble tile floor idea would have helped me a few years back.

I generally recommend at least 500,000 USD in capital if a non-resident alien wishes to invest in the US.And if you think about DIYing these obligations, you should be aware that the penalties for even non-negligent non-compliance are egregious. 

I can assure you it is possible for military folks like us to build a portfolio and become financially independent while active duty.