Refinance question, old house, and hard money lender

[William Howley]

Hi, I plan on buying a rental property in Lakeland FL. I am making a cash offer via a hard money lender. After fixing it and getting it fully rented, I plan on refinancing the property into a regular mortgage, it is ok if the bank only offers me a 30/70 LTV on the loan, my main goal is getting out of the high interest rate of the hard money lender. I have two concerns in regards to financing out.

1. Will banks not want to refinance a property that was built in 1920 (wood frame). This is sometimes an issue in the hillsborough / polk county area. 

2. Do banks not refinance properties that have a lien on it from a hard money lender. Someone told me this is possible.

3. Is it even possible to find insurance for properties that old. 

If you have any experience with a similar case from someone who has actually invested in these areas let me know, thanks!