Two canons apply to this situation, and the pastor would apply them after consultation with the diocesan bishop or his staff, presumably including the canonists in the curia. The law is found in the code rather than the National Statutes, since the latter merely reflects the code and is derived from it.
Canon 869 §1. If there is a doubt whether one has been baptized or whether baptism was validly conferred and the doubt remains after serious investigation, baptism is to be conferred conditionally. §2. Those baptized in a non-Catholic ecclesial community are not to be baptized conditionally unless, after an examination of the matter and the form of words used in the conferral of baptism and after a consideration of the intention of an adult baptized person and of the minister of the baptism, a serious reason for doubting the validity of the baptism is present. §3. If the conferral or the validity of the baptism in the cases mentioned in § § 1 and 2 remains doubtful, baptism is not to be conferred until the doctrine of the sacrament of baptism is explained to the person, if an adult, and the reasons for the doubtful validity of the baptism have been explained to the adult recipient or, in the case of an infant, to the parents.
Canon 876 If it is not prejudicial to anyone, to prove the conferral of baptism, the declaration of a single witness who is above suspicion suffices or the oath of the baptized person, if the baptism was received at an adult age.
Note that this witness need not have been a sponsor (godparent) or Christian witness, but merely one present at the baptism who had attained the use of reason and knew what happened.
In particular the National Statutes (30-37) treat the matter of non Catholic baptism, so one really need only go to the code.
No. 30 makes it explicit that “Those who have already been baptized in another Church or ecclesial community should not be treated as catechumens or so designated.,” so we have that as a context for what is subsequently addressed. Though, iIf you still want them, PM me.
Your situation sounds more like n. 25, provided there is no doubt about your Catholic baptism after serious investigation: "25. Although baptized adult Catholics who have never received catechetical instruction or been admitted to the sacraments of confirmation and eucharist are not catechumens, some elements of the usual catechumenal formation are appropriate to their preparation for the sacraments, in accord with the norms of the ritual, “Preparation of Uncatechized Adults for Confirmation and Eucharist.”.