Yes, if you have complete those two further steps, on top of the BT Playmaker by England Football course, you will be eligible to apply for 'FA Lead Playmaker' roles in FA participation programmes.
Please note: In most cases those working with children will require an In-date, FA-accepted DBS check and they will be subject to safer recruitment processes. A DBS check will depend on the eligibility requirements, e.g. individuals must be 16 or above to apply for a DBS check.