Everything seems to be in order.
You are using SF v1.0, please try Star Fox v1.2, it should be latest anyway.
If I can find the rom I'll test and report back, but so far everything that's come on google has tried to pass an exe off as a rom or something else not very trustworthy. I'll keep looking.
Update: Tried out Star Fox v1.2 and it crashed in the first level, tried playing it twice.
NTSC SNES mini, SD2SNES rev.H, passes diagnostics test.
File SHA-1: 87C4B4C6DBE65D62B5AEC0CE8E7B799E768B30B4
ROM SHA-1: CF08148CD8F26D51F8C67C956179DF