It's definitely cats... No insect leaves marks like that! If you do get the Bayers 3 n 1, make sure to get the kind
without fertilizer... It can be too strong for orchids, and burn leaves/roots.
The black spots look like you got water in between the leaves, and it stayed there without drying quickly enough, and it rotted it a little... You can put rubbing alcohol (isopropyl alcohol, from the drug store) on it, that should help prevent further infection. You can treat it for awhile, until you know the spots aren't spreading any further, & they will probably dry up too, at some point. Just douse it every couple days for a week or so... Just try to keep water away from those new growths, especially down inside them, these types of orchids (thin-leaved, sympodial), don't like to have their leaves get wet (some are worse than others, but none like having water get down inside, or in between the leaves on those new growths). Also, make sure that any foliage that happens to get wet, dries before nightfall... and while I'm at it, I also wouldn't suggest you "mist" this orchid either....
Good Luck!
and try to not use pesticides on your plants, since your cats seem to be able to get to them, I have kitties too, and would hate to see them get hurt
Btw....there's a section on the Orchid Board where you can post pics of your kitties as well...