Is that post baseplate bolted to the concrete floor? If so, I don't think you really need those angled braced down there.
But bracing the top of the column is needed. Something between the building framing (although those members are usually pretty small) and attached to the top of the column with a vertical slotted connection is something I've designed on this type of application inside existing buildings.
Ditto on the web stiffeners at the beam ends.
You may not need the braces at the top between the beam and the column. If you add them, you will most likely change the moment from what that analysis you posted on the first post. It may or may not matter.
@bb29510 has the right idea about the beam end not really being moment connections. The braces at the top may actually make it closer to moment connection depending on how they are detailed and how stiff they are.
Lastly, on these kinds of designs I apply an impact factor of 2 to the load. I think you already did that if you applied a 1,000 lb line load over 2 feet.
I think you have a good idea, and kudos for running numbers.