After broad agreement that blockchain.info is one of the best if not the best online wallet - suddenly the recent couple of weeks we have horror story after horror story and people saying they have closed their account there etc..
I wonder if some competitor(s) wallet(s) are targeting blockchain.info and trying to capture customers...??
Blockchain.info used to suffice, but their technology is out of date and extremely vulnerable. It's pretty well accepted now adays that Blockchain is not an adequate wallet, and it has been this way for a while now. @OP, I would recommend not using blockchain.info in the future.
And if you keep using Blockchain.info, only store small amounts on it. The same applies for each web-wallet by the way.
However, two factor authentication makes most wallets really safe. Tip #1: enable two factor authentication.