Keep in mind, with an LLC you will be applying for commercial financing when you purchase rental property.

Or, hire a quality PM company and then have your ex-wife's husband apply for a job with them.

The primary residence exemption would only apply to the unit you occupied.

Generation skipped tax will not apply as the amount of the inheritance ( estate)  will NOT exceed 11 mln.The property guardian will be responsible to pay real estate taxes, house insurance, etc. from the rent. 

Same applies to 4 bedroom homes.

Also although i’m aware of “flat-fee”, and “split” brokerages, but I’m on the fence of which to apply to in each state once I get my license.

I've only applied for them one at a time.

Could a reason be that someone that applied before them was selected?

Take the work ethic of the MLB and apply it, you'll be successful 

You can create an LLC online or over a Law company and you can apply for an EIN online.