White is freshwater. Anything else I wouldn't trust. I'd smell both white(ish) pieces and possibly replace anyway.
All hose connections are normal, both fillups and the gray water outlet. The gray water hose is not necessary unless you need to direct... I take great pains to never put anything that I need to direct into my gray water tank in the first place- parking over a dump station drain has been sufficient when necessary.
Anyway, a hose spigot is male, city water connection is female, so the long white(ish) hose is for basic fills. The hose end will be male, to connect with the city water valve on your SMB. The inside tank connection for whatever reason is male as well, so with your hose end male and the inside connection male that second white hose being male-male ends is not going to help.
You can reverse your main white(ish) hose to connect to the inside fill and gravity fill from the other end, but you still have to come up with an attachment. for the opposite end, and the hose is pretty long to be messing with gravity filling.
I'd recommend a water thief:
and some female-female, male to male adapters and some shorter hose maybe. You can buy replacement/repair ends in the hardware store if you want to make your own. I carry a small kit with every adapter I can think of, including compressed air to water and a handful of quick connects.
Come to think of it, I need to add some emergency replacement/repair ends to my kit.