Loading for the .38 Long Colt is easy:
Use any small pistol primer. no wads are needed. fill the case with FFFg granulation so that bullet will firmly compress the powder when fully seated and crimped.
I loaded .38 LC years ago using .358" HBWC and the results were only so-so accuracy and power. They barely made 700 fps (target wadcutter velocities) and burned dirty. This was in various modern Colt and S&W double action revolvers designed for .38 Special ammo.
The problem you will encounter is that even with HB bullets, that repro M1851 .375" or .380" barrel groove diameter will give crummy accuracy.
The old .38 LC rounds were "heeled" bullets (like modern .22 LR rimfires) where the bullet was case diameter AND had a deep hollow base. They had to go that route to get acceptable accuracy in original M1851 cartridge conversions.
HTH
John