Having only two wires, the second can not be a transformer. The picture on the front is of a standard choke wound on a metal form.
A transformer would have two or more additional wires and a winding pictured on the other side of the plates.
To test you would need an LC meter or a scope with a signal generator. The procedure would be much more than I could write up in a reply to a post.
A quick search
https://www.google.com/webhp?source...1&espv=2&ie=UTF-8#q=capacitor inductor tester
will show you what is commercially available as well as a couple of articles on do it yourself.
Again, I don't know your shack setup, but I don't have any 350VDC power supplies that need filtered.
I might suspect the choke as being to filter 400Hz from a power line but with a 10,000 ft ceiling it was not designed for aircraft work.
The HPF doesn't look big enough to handle much power, and unless you are playing 6M and getting into televisions, most modern rigs don't need after filtering.
I suppose the audio filter could be used if you need to make audio sound like it is sent over POTS.
Have fun
Bruce