LOL. well recycle bin and system volume information show because you have show hidden files and folders and/or show protected operative system files enabled
They are part of the Windows OS and have to be there hihi.
2nd, formatting your recovery partition due to seeing them is just L O L ... NOOB.com sorry to say... well funny to read though.
But cheer up kiddo, do a full factory recovery from the disks and they SHOULD put back the factory recovery partition!
If not, come back in a months time when I release suck hopefully and for abt 15 dollars, you can use suck on one machine to set up your own home OEM recovery partition.