Bilge Water

[schooner]

I have a 1985 23 Sceptre that I intended to keep in the water at a marina rather than on a trailer. I understood that these boats were stern-heavy but the concern is that water in the cockpit runs forward - away from the scuppers. The scuppers are about 2 inches above the waterline when nobody is on board. Water puddles around the steering station and bulkhead after washing or rain. Also, the aft part of the bilge where the pump is located was dry but the boat drained about 10 or 15 gallons of water from the garboard plug after a weekend in the water. Worried that the water runs forward away from the pump and there is no way to keep the bilge dry or get the water out. Since he boat will be unattended in the water a lot, don't want bad things to happen. The motor is a Johnson 200 which I think weighs about 425 lbs. The batteries are aft and the tank is about half full. Any opinions on this condition? Suggestions? Also, would this much water enter the bilge through the deck?
Thanks.