That is a nice early 60's kit. Your a lucky guy. Did you get a good deal?
There is nothing to removeing the hardware on that bass drum. I would go ahead and take all of it off and give it a good cleaning. Heck if it was mine I would take it off all the drums and clean the wraps like was suggested. They will look great. I would even consider leaving the rail mount off and using a nice snare stand for the Tom or get a new rail mount. That old red sparkle actually has glass in it. I have some if you want to remove that other mount and patch the hole.