Only guessing mate
There are a couple - if you have a multi meter then check from the Positive terminal on the battery to the engine block - should read the same as across the battery.
If you have a second car and some jump leads try that see if the extra amperage will give her what she needs, I recon she will start and just needs warming through.
Think the fuel pump fires up thought I heard it in the vid it should come on for a few seconds after the ignition is on then go off - constant running means no fuel.
Give the car a break for a few minutes between cranks I burned out a starter when mine was playing up!