Hi AEN007,
I switched to the WIN10PE or WIN10XPE a long time ago, but used Win7PE before. One thought would be to check USB 2 vs USB 3 ports. Win7 does not support USB 3 out of the box, and I assume your new Laptop has (only) USB 3 ports. If you still have USB 2, try to boot from that port. If you only have USB 3, make sure you integrate USB 3 drivers into your PE system.
Did you see the internal drives/hard disks? If not, you might also need to add the proper chipset drivers or the storage controller drivers. Drivers were one reason why I moved to WIN10PE. It just ships with most of the mandatory or useful drivers (storage, network).
just give it a try... :)
Just one more note: you can also boot in native UEFI mode from USB usually. Just make sure your usb stick is formated FAT32 and you are using the 64 bit OS version when you create your PE. I already came across some newer machines, where the CSM mode is no longer available in BIOS, so they only support UEFI.