Brokers can see who has lower fees on any given day.

Any idea of cost per sqft on construction with lower end finishes? 

If it is newly renovated, why are the rents lower than market?  

total waste of your time and effort... only way to work on this is if you have significant equity.you wont get the bank to lower their fee's no way..but if you want to fool with it for practice or just because it could be a good learning experience for you  to realize you cant work with these sitautions this late in the game unless your going to stroke a check ..

But you have a family, look into 4 plex and duplex where you can house hack live in one place with lower down payment than an investment loan and rent out the other spots.

The lower purchase price helps me REFI more money out of the deal and increase my COC return but doesn't affect the cash flow after REFI....

(House-A)I want to buy another (House-B), and then sell House-A.My lender has pre-approved me or a mortgage for another house (House-B), without requiring me to sell my current house, (House-A)I want to do a BRRR and buy House-B with hard money , renovate and then utilize the mortgage to lower the interest rate and pull out most of the initial investment.If I borrow from the hard money lender, will that reduce my borrowing power for the new mortgage?

I agree with Brian, if you want to be a good landlord and not just a slumlord ask yourself what is the number that gets yourself off the couch to get the property repaired and to keep it up nice so you get good renters and lower vacancy.

Since we are taxed on the interest portion of the repayment, the further towards the end, the lower the % of the P+I payment that is interest. 

Unless the property is on a waterway or lake, I would look for another property.BUT, its a different story when you can step out back, lower your boat.