I would not hook it to the bow eye. The snap will be (by far) the weakest link. Also, as I understand your plan there would be a line from the bow eye back to the cockpit. At some point that line is bound to come loose and go over the side, possibly ending up in the prop.
I would also have both pennants cleated with the same tension. this keep the boat from "sailing" back and forth on the mooring, preventing chafe. It is also a stronger system.
I'm not sure from your pictures but if you don't have bow chocks you may want to add them to prevent chafe.