Robert
Did you mean 1987? The boats were built to the end of 80s.
I know of other boats with mid-cockpit travelers and biminis and the approach is to have a bimini protecting the helm position and a dodger and then a piece a fabric you can zip into the gap when not sailing (it has a slot for the mainsheet in vertical position).
Here is an image on line of a J28 with a dodger / rear bimini combo in Texas
I am not aware of too many issues specific to the boat. Given that the hull/deck are cored, appropriate use of a moisture meter particularly in the usual areas of concern, thru-hulls, around deck hardware, and chainplates is important and I would check for play in the rudder and prop shafts. On my boat the hose clamps in the stuffing box on the prop shaft are challenging to inspect as the bottom of them are squeezed between the hull and the stuffing box. Ideally these would be pulled off and redone in order to be confident of their integrity and possibly the fiberglass below dremeled a bit to leave a gap for future inspecting. I also found that the limber holes in the bulkhead between the v-berth and salon are too small and easily clogged leading to poor drainage from the forward portion of the bilge. This is an easy fix. Hatches and ports of this vintage may be somewhat opaque and gaskets may be dried out so look for water intrusion in the vicinity of these openings.
It is a great boat, we were lucky to come across ours on Craigslist moments before we were about to put in an offer on another boat.
Geoff