I'd be surprised / disappointed if banks weren't subject to PCI DSS audits and I know from my own personal experience with PCI compliance that the SSL 3 and TLS 1.0 would fail many 3rd party vulnerability scans.
So I was very surprised to read your post and after checking the URL (www.halifax-online.co.uk) myself, sadly it seems you're right.
Sadly this isn't the first time I've questioned Halifax over their security policy for online banking. When I first signed up with them approximately 5 years ago, their login process consisted predominantly of researchable questions (eg "what was your pet's name", "what primary school did you attend", etc). Thankfully now they have a standard 2 password process now with 2FA used for any additional payment processing.