Is Causality Symmetrical?

Physical laws are time symmetric, but causality only seems to happen in one direction. What is going on? 

This only remains a puzzle if you think that objects sit in a container called “time.” If the container flows a certain way, like a stream, then backwards causation would be like swimming against a current, which might be very strong or all powerful.

If on the other hand, time is emitted by objects themselves, then it's plausible that an object could emit time in such a way as to influence the past.

If an object that is “present” is only a vorhanden caricature of a real object, then the paradox goes away. The paradox of backwards causation is only paradoxical from the standpoint of present-at-hand objects floating in a stream of time.

Furthermore, it becomes even more simple in a relatively flat ontology. My mind is not that different from any interobjective system of entities. In that case, my future seems to influence my present all the time, since I anticipate.