Can files from my C drive bleed through to other drives?

Get an experienced computer user to organize your file system.

You couldn't format F: probably because the File Manager that you used to look into it is still open. Close it then go to Control Panel-System Administration-Disk Management. Format from there.

Bleeding doesn't happen. Either someone else used your computer and saved files there or some rogue program is doing something fishy with your computer.

Manually placed files will not, but the machine operating system will put its own temporary files in places that appear to give fastest access.

Windows often puts pagefiles on other drives - it means they can be accessed simultaneously with things on C: so the overall machine runs faster.

Plus each "volume" (drive letter labelled partition) has files created during formatting, the main index directory (the MFT in windows ntfs format drives) and various usage / allocation tables, plus a journal file in more advanced filesystems.

All filesystems have indexes and data tables, even if they are not obvious, to allow the stored files to be located and free/used sectors of the drive to be tracked. 

That is a fundamental of how such storage systems operate.

ok so

1. files cant "leak" between partitions or drives

2. those $files are used to store basic info about the file system on the drive (they have to exist on each drive with that file type (ntfs))

3. the page file can be spread between multiple drives (to spread the space usage around)

i would hope not, just ask about it at a computer store

It is never a good idea to cherry pick parts of the system that don't seem to be of any use, for deletion, the system uses that space for various system functions and using it for temporary memory when ram is full up. Just leave it alone.

no, the page file is vital to your system. you cant erase it. it shrinks and grows. everything is fine.