#2
I can't say anything about Vault as I have never played or seen one but I would go with the Cort. Cort was my first electric guitar I bought and it served me well even though the pickups sucked in my M200. The build of the actual guitar was great though but definitely was a beginner guitar.

Although it looks like you're getting designed duncan pickups with the Vault which is good and I have no idea what the "powersound" pickups are from Cort.
Jackson DK2
1962 Fender Esquire
PEAVEY JSX 212
PEAVEY 6505+ 112
#3
Same here of those two I have at least heard of Cort.

Location?

Budget?

What is your rig (amp/effects)?

Willing to buy used?

Is there a u sed market in your location?

More details will help us narrow it down and possible suggeat alternate choices.
"A well-wound coil is a well-wound coil regardless if it's wound with professional equipment, or if somebody's great-grandmother winds it to an old French recipe with Napoleon's modified coffee grinder and chops off the wire after a mile with an antique guillotine!"
- Bill Lawrence

Come and be with me
Live my twisted dream
Pro devoted pledge
Time for primal concrete sledge