Yes it's normal for an oceanic plate to have a spreading ridge (or split in two or even three as a result of subduction). Again see the Pacific Plate as an example (which formed at a triple junction between the now-subducted Izanagi, Farallon and Phoenix plates). In fact, it would be unusual to see an oceanic plate
without a spreading ridge. Though there could also be a similar case to the modern North American margin of the Pacific, which has a transform boundary (the San Andreas fault), since the Farallon plate was subducted relatively recently (Nazca, Cocos, Rivera and Juan de Fuca are remnants of the
Farallon Plate).
Edit:
To comment on the tectonics:
Both the Black Sea and the Caspian Sea have some oceanic crust, so there can occasionally be some pieces that are left as remnants. Though I think those are former back-arc-basins, so they were probably never under subduction (don't quote me on that though). But in a case like yours where there's a full-on collision, I don't see how there could be leftover pieces of oceanic crust there, if it's similar to Arabia-Eurasia or India-Eurasia. That doesn't necessarily rule out shallow seas or lakes though, since much of continental crust is actually submerged on Earth as well.
The big problem as I see it is the purple continent: that's subducting oceanic crust of both pink and yellow, which should put those continents under "slab pull" and pull them towards the trench.