The valves look open. But the way your bypass is plumbed, it looks to be bypassed on your model. Most valves are open when the handle lines up with the pipes. Just check to be sure your heater is still empty and you're golden.
I would never put antifreeze in fresh water tank. Drain it back into the antifreeze bottles (Fresh tank should have a drain plug underneath trailer) and you are going to want to rinse that tank a few times. Next, get a winterizing kit, its not an option and very easy to install.
I have no clue where your water pump is, but if you can here it, look there. Its normally not difficult to access (Under bed, Dinette, cabinet etc.) and normally close to water tank.
Im not going to go thru the entire process, there is a ton of information and videos for that.