For my L1 certification, I also used a 4" diameter rocket, with a 38mm MMT and an optional payload section (BSD Horizon - OOP). After sim'ing in Rocksim, I tested the rocket first without the payload section on a high impulse 'F' motor, and then with the payload section on a G80. Both in Acton, both 29mm motors with an adapter. Both flights with a JLCR, and both recovered without harm.
After building confidence using those motors, I cert'd with an H238 (I think) at Amesbury.
Looking at the Rocksim data for your rocket, I would fly first with an F52-5T (optimal delay is 4 seconds - 420' at apogee), and then something like a G77 (optimal delay is ~5 seconds - 690' at apogee). Both would result in lower (but not too low) altitudes. But the G61s that you bought would also work, with an altitude at deployment of 775' (optimal delay 5.25 secs), which is recoverable at Acton with the added insurance of something like a JLCR.
To answer your question, you won't need more motors than what you have to verify your build and finally cert. Fly it a couple of times on the Gs, and then cert with your H.