I lost my phone

Don't worry. Everything in LockMyPix is securely encrypted with your private password. No access possible without your password.

Can i somehow delete my Vault remotely?

LockMyPix doesn't allow access via remote due to security reasons.
Use the Find, lock, or erase feature of your Google Account.
Find out how​
Same is available if you have lost an iPhone.
Find out how​

How to restore my Vault?

Use the Privary Cloud.