"Maybe it's not planted in the right location?" Always possible :-) Unless a dwarf form, these get a lot bigger than might be expected. But it can be pruned....just that now is not a good time to do so. Wait until late winter or very early next spring. And don't cut back into bare wood.

Could be Trichocereus spachiana, Cereus peruvianus and a Pilosocereus (azureus?), But I have been wrong before...

Leaf outline is generally like hybrid anthuriums that came on the general market awhile back. And if not one of those it will be some other arum family plant. Of which there are many.

Please don't laugh, but your rose really reminds me of the photos of Eustacea Vye on HMF. EV looks like it's low thorn, but there are a few on older canes. I don't grow her, so I'm just making a wild guess. She's quite beautiful, as is your rose. Hope you get someone more knowledgeable about ID possibilities than I am. Diane