For 1 and 2, the answer is no, the Harmony won't be able to control this product using RF (unless it happens to be Z-wave which I doubt). Harmony is prevented by law from using the same frequency as another mfr - that's how the FCC makes sure that your RF fan control doesn't interfere with your RF garage door opener. Z-wave is a protocol that allows products from different mfrs to talk to each other - similar to how computers from different mfrs all talk to each other via Ethernet.

It does appear to have an IR receiver on the front but it's hard to tell for sure. You should call or email the company and ask them or do a google search.

As to your 3rd question - it doesn't matter what is on the OEM remote. What matters is what is programmed into the device's firmware. The firmware is usually shared while the remote design is up to the product designer. The harmony database usually has all the available commands for a device regardless of whether that command appears on the OEM remote or not. In other words - it's the device, not the remote that determines the commands. The only difference is you can't learn a command yourself if it's not on the OEM remote but you normally don't need to do that.