I got this .science domain for free and put a few hours into building it.
(emphasis mine)
Also, if the owner of the original LOB does not want me to continue with my website...just have him contact me and I will sell him the domain for a very cheap price.
(emphasis mine)
I found a way to get free .science domains, so I started loading up on them. I have about 27 of them in total and this landofbitcoin.science is just one of them.
So basically, you're cybersquatting. While that may or may not be legal depending on your jurisdiction, it's something that's generally frowned upon.
Are you sure you aren't breaking copyright with your site?
It seems like a knock off banner and name.

Using the same name isn't likely to be copyright violation, but it could be trademark violation and it's definitely a form of cybersquatting. Using any actual content from the site (like the banner) would probably be copyright violation, whether or not copyright was ever registered in the U.S. and most Berne Convention countries.
edit: OP, it's not a bad site and there definitely needs to be an alternative to landofbitcoin, but for your own sake please change the name. You aren't going to earn any points in this community (or most other online communities, for that matter) by trying to justify cybersquatting. Even if no legal action ever comes from it, it's still not a good way to build a reputation online.. at least, not a reputation that you would want.