C-Run – I have an even older version, a 1981 Angler, hull # 023. I think the Angler model applied back then, since they made both the Angler and Cruiser versions with the original flat hull. I think the “Classic” just refers to the hull design. I’m pretty sure they changed the hull design to a shallow vee around 1987. I have the original oak strakes like yours; I think there’s 7 on my boat. They’re attached with brass screws, and so far mine are still well attached. I did a bottom paint job a few years ago, 2 coats of epoxy and an epoxy-based bottom paint over the strakes and everything.
If the strakes are detaching from the hull you want to get on that problem right away, since the screw holes are ripe for water penetration in the balsa core, which ain’t good. I always thought the best fix would be to replace the oak strakes with square fiberglass bar stock, attached with fiberglass or epoxy resin, and no screws. I’ve never looked for square FG bar stock, but I bet some place like Tap Plastics might have it. You’d need to tear the old strakes out and do a thorough job filling the holes in the balsa core before glassing the new strakes on. It wouldn’t be a huge deal if it weren’t for the fact that you’re working upside-down under the boat. For now I just hope mine stay in well anchored.