Without the source code, it is hard to say what is wrong. Do you use external BI, BM, or dynamic library files? Do you use external files? Do you have all the necessary files on both computers? Do you use relative file paths or full file paths? Do you have QB64 installed on both computers, or just copy the compiled EXE files to the other computer? Have you tried to compile the same source code again in computer where it doesn't work?
After a startup, a non-working program terminates and the work is passed back to the operating system, or does it remain running and end with the task manager? You are using fonts? Are in both PCs?