The searchbox you're seeing now is part of the Nothing Found message you're getting because you have deleted the sample "Hello World" post and your blog front has nothing to display. If you publish a post, or if you create an intro page and set your front to display that page (in Settings>Reading), the whole message including the searchbox will disappear.
In my previous response I tried to be polite and avoided spelling out what your reply was and what the real reason behind it is. I'm dumbstruck you did it yourself.
Check my front page please: http://wpbtips.wordpress.com/
You really expect me not to do any of this because you would like me to pay for it while it's possible for free? I'm afraid this is like me driving my bike in a small country road and suddenly seeing you in the middle of the road asking me not to use that road or tell other drivers about it because you operate a pay-toll highway nearby. Well, we'll use your highway if and when we need the advantages it offers, not just because you want to collect toll and you hate it that there's also a passable toll-free road leading to a couple of the thousand destinations the highway does.
Compared to the CD upgrade, there's very little you can do with the position property. But anyway it's a perfectly legitimate (and by no means secret) piece of CSS, so I'm not to blame if it can occasionally deprive you of a few extra bucks. If you ask me not to use it, then what next? When, for example, I give inline CSS solutions to users who cannot fathom why their tables are a mess in some of the newer themes, will you tell me not to because the table CSS can be corrected if you buy the CD upgrade? Or if in a future upgrade you add a table tool, will you then ask me to stop using or suggesting table coding? You can't be serious!
"Similar to asking you not to remove the footer credits"? The one is a reasonable request, based on the ethics of giving due credit, while the other is an absurd request, based on greed and involving dishonesty: so, sorry, I don't see any similarity between the two and I don't see why I should comply with the second one.