That bridge is A) incredibly expensive and something a postwar Ukraine would prefer to exist for economic reasons, B) extremely overbuilt in certain ways, and C) not strictly required if Russia can keep rail going on the landbridge.

It might be in play if the land bridge fell.

It would be almost trivial in terms of range to make it a target of any number of strike munitions. If you can hit the Baltic ports or factories in the Urals...

As for drones vs cruise missiles - at this point every missile strike is associated with drone accompaniment, it's part of the counter SHORAD proposition.