Issue with names displayed on the menu

I think you need to adjust the pointers to the text. Try changing the value at C3/5E40 from $63 to $61.

You're also going to need to adjust the pointer for the "Phase" text at C3/5EBA. This one isn't in a pointer table, it's referenced directly in the code. Try changing the value at C3/54E9 from $B8 to $BA.

Code:

C3/52E8: A0 B8 5C     LDY #$5CB8 <- change to #$5CBA

BTW, these are all addresses for a headered ROM. Have you tried removing the header? It's a lot easier to find references in an asm dump when you don't have to convert back and forth all the time.