tomsrtbt is cramped for space and has very little in the way of programs on it. When I used to use tomsrtbt as a rescue disk I would boot tomsrtbt, remove the floppy, and then mount one of several floppies on which I kept various programs that come in handy in rescue situations. So you need a copy of fsck on a floppy.
Once you get to the point that you can mount your hard disk then you can use tomsrtbt to run programs from the hard disk, assuming they are in a runnable state.
To get around the limitations of tomsrtbt I created my own rescue CD. About the time I got my rescue CD working Knoppix was announced. Knoppix is not the perfect rescue CD but it works a lot better than tomsrtbt.