Ragged Island

[Hillcountry]

We were out all day today and poking around found a little beach area on Ragged I.
I approached at a 90 degree angle straight into the beach but did an abrupt reverse when it got shallow with abundant rocks...there were a few boats at the small beaches.
My question is: is this a private area (noticed swim floats at one of the beaches)?
If not private, is there a trick to getting close to the beaches without damage?