Seed available: False
simply means the user can't view it (it's like an admin password that you don't need to 'use the wallet software', like view... BUT need to spend funds)
Right.
Your 2FA wallet has a seed phrase. The seed phrase was displayed when you created your wallet and you should have saved it. You can no longer see your seed phrase.
Does 'file created 2024-04-13'
definitely mean I first downloaded software and created my wallet back in April (NOT a week ago)?
Right. That's the time you created the wallet.