Are there any restrictions/ obstacles to haveing properties in the same LLC in 2 different states?

FHA doesn't have any restrictions on resale anymore, but there are a few things to watch out for:-  Even though FHA doesn't have the restrictions, some lenders/banks still impose the restrictions. 

An offer that a Seller wouldn't reject for a lower cash price that did not include any contingencies and/or Earnest Money restrictions as noted above?

The c offering lets you advertise nationwide, and there is no restriction on having unaccredited investors view your ads, including in emails and on social media.

After strict rules per imposed in April of this year by the FCA, approximately 100 of Britain’s top 210 have stop offering payday loans.

The development has a "declaration of rights, restrictions, easements, affirmative obligations, management agreement, and conditions" which seems to be intended to maintain the multifamily residential usage and branding for the complex.

Often they get refer to as HUD or FHA Commercial loans for MF.A bank who lends with intent to sell back up into one of any of the larger market investors has what are referred to as "overlays", that is, guidelines that go over the top, usually in a more restrictive manner, to those guidelines set forth to sell the loan into the large market investor.

They also mentioned some affidavit that has to be filled out at closing which prevents the buyer (flippers) from wholesaling these properties.Has anyone ever heard of such restrictions?

By requiring the SEC to remove this general solicitation restriction, Congress sought to make it easier for companies to find investors and thereby raise capital.While issuers will be able to widely solicit and advertise for potential investors, the JOBS Act required the SEC to adopt rules that "require the issuer to take reasonable steps to verify that purchasers of the securities are accredited investors, using such methods as determined by the Commission."

Not sure how this can move forward after the law change coming up in January that restricts balloons.