From the way you describe the play, the free kick has been grounded; therefore, there can be no KCI or any awarded fair catch. However, the kicking team cannot contact the receiver prior to the ball travelling 10 yards - when they (K) may legally recover the kick - unless the contact is initiated by R (9-3-8). So, in your play, you would have an illegal block by K during a loose ball play with enforcement, if accepted, from the previous spot; or, if K touched the ball prior to it travelling 10 yards, they could take the ball at the spot of first touching
Of course, if the ball is still airborne, contact with the ball or a receiver making an attempt to catch the kick, before the receiver touches the kick, is KCI - whether or not a fair catch signal has been given.
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