The reason I asked for the Speccy report was to clear up the vagueness about the number of your hard drives in your OP. You refer to adding a second hard drive, but in fact you have three - a 150GB Samsung, a 465 GB WD and a 596 GB WD !
Judging from the sequence they are listed in the Speccy report, the Samsung is probably your C:\ drive, the one with your operating system on. Windows always labels the drive with the OS as C:\ . The lables given to the other two do not matter too much and is complicated by the fact that you have two CD/DVD drives which also get assigned drive letters. If you check I think you will find that the Samsung and the 465 GB WD are labelled C:\ and D:\, one CD/DVD drive is labelled E:\ and the other labelled G:\, leaving F:\ for the second WD hard drive. As a comparison, I have four hard drives in my computer :- a 1TB with my OS, applications and data on it, a 1TB and a 500GB for data and a 500GB with Linux on it, as well as two DVD drives. Windows does not 'see' the Linux drive but the other hard drives are labelled C:\, E:\ and G:\.
To come back to your question about the 'recovery' file on your F:\ drive. If you sourced this drive out of another computer the recovery file will not work on this one, so, yes, you can quite safely delete it. As you say, you have a set of discs - DVDs ? - that you can recover from.
One thing I did note from the report - you need to look at your cooling. Your hard drives are running too warm. The Samsung is running at 60C and the other two between 50 and 55C, all three temperatures are above the safe limit of 50C. Again, as a comparison, mine are sitting between 32 and 35C. Your mobo shows 49C. There is no sensor reading for the CPU temperature but it is probably up around the 60C mark.
And finally, you need to allow for the fact that not everybody on BC is in the same time zone as you and not expect near immediate replies. Your #4 was posted at 0100 hours my time and your #5 at 0500 hours. Like the majority of my countrymen I am tucked up in bed at those times.