Three Unusual Tools (Hassocks BN6)

Various origins for these three, but the common denominator is that I don't know what to do with them.
So, if any one wants one or more, then you are welcome.
1. The chisel type tool is curved and, by design, has no edge. It might be for pushing things on a wood lathe perhaps or just in a workshop, but I've no idea.
2. The stripy tool, my wife assures me, is a boot lace puller, presumably from early to mid last century. The strips are Aluminium, Brass and what looks like Bakelite, if that helps date it.
3. The remaining one was used by my wife's father to make rugs in the 1970s. Not professionally, but as a kit that you could buy. The tool was used to pull the threads through.
David Edwards (Hassocks BN6 8DF)