I've decided to empty out my Multibit wallet and move everything to the wallet you create at blockchain.info.
Thanks for telling us. Not sure why we would want to know.
It seems to be more secure with 2-factor authentication and stuff like that...
So you feel it is more secure to give control of your bitcoins to somebody else than to control your bitcoins yourself? And the reason you feel that way is because they require you to prove that you are you twice before they
beleive you and let you access your own bitcoins in their system, instead of you
knowing that you are you when you access your own bitcoins in your own system?
two-factor is a way to prove to someone else that you are you when you try to access something that they have control over. Assuming you properly secure your bitcoins against hacking, then you already have 2 factor when you run your own local wallet. Accessing the bitcoins would require both direct access to the computer (first factor), and knowledge of the password (second factor).
1 - is blockchain.info a secure place to store my bitcoins?
Security is a process, not a destination.
It's not a matter of "secure vs. unsecure". It's a matter of "more secure vs. less secure".
Blockchain.info is more secure than some options, and less secure than others.
When making security decisions, you also need to consider convenience and cost.
2 - how come the transaction below is unconfirmed? How do I fix that?
You haven't provided enough information to know why it is unconfirmed. My best guess is that it was sent with an insufficient fee, but among other things I suppose it's also possible that it has just never been broadcast onto the network.