[ealgeone]

After Baptism, if a person falls back into serious sin, then he restored to grace by repentance and and confession; he just asks for it! No good works are required.

No. We've been told on these threads one must make some type of amends for their sins [presuming you're discussing so called mortal sins]a certain number of Hail Marys or some other type of work is required.

Then, if I understand it, the petitioner must participate in the Eucharist to regain their salvation.

None of this is supported by the New Testament...except we confess our sins to Christ.

[Petrosius]

All of what you mention is what happens after one is justified through the absolution of the priest.