Not for me:
If the screen is large enough the search box should be shown in the top right. If it is too small it should be shown on the main page, or do you not see it at all?
Error given when I click the green rectangle.

So the answer to that question is, because blockchain.info is buggy

Should be fixed now.
I wonder if you could modify the API (most specifically the "pushtx" function) and add the "Access-Control-Allow-Origin: *" header to allow it to be called via AJAX from web pages.
Added now. the push_tx function from
https://github.com/blockchain/My-Wallet/blob/master/blockchainapi.js may be of some use.
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- Android updated with the ability to scan watch only addresses + other improvements to the address book.
- New paper wallet tutorials
http://blockchain.info/wallet/paper-tutorial &
https://blockchain.info/wallet/paper-wallet-tutorial-web