Pushing the boat hard or not...you need to be prepared for a capsize sooner or later. Make sure your mast is mostly air tight and keeping a righting line aboard should be adequate. Make sure you know how to right a capsized catamaran (search on this forum).

With regards to mooring, we usually don't advise mooring a beach catamaran. The problem comes with the rotating mast and all the constant motion that the rigging, mast step, boom, etc. will see while the boat rocks on the water. However, it can be done but I recommend that you plan for a monthly check of the rigging (up high) and the mast step bearings to look for wear.

A barrier coat (something to make the hull water tight) and bottom paint would also be needed since the hulls were probably not intended for full time immersion.

Lastly, you would need to construct some sort of "Y" shapped mooring bridle to attach to each bow so the boat will remain oriented into the wind.