I don't think you should be baptized a second time. But in any case that pastor and session will discuss the matter with you in their own context.
WCF 28.7:
The sacrament of Baptism is but once to be administered unto any person.18
(18) Tit.3:5 "Not by works of righteousness which we have done, but according to his mercy he saved us, by the washing of regeneration, and renewing of the Holy Ghost."
Belgic Confession, Art.34:
...the ministers, on their part, administer the sacrament, and that which is visible, but our Lord giveth that which is signified by the sacrament, namely, the gifts and invisible grace; washing, cleansing and purging our souls of all filth and unrighteousness; renewing our hearts, and filling them with all comfort; giving unto us a true assurance of his fatherly goodness; putting on us the new man, and putting off the old man with all his deeds. Therefore we believe, that every man, who is earnestly studious of obtaining life eternal, ought to be but once baptized with this only baptism, without ever repeating the same: since we cannot be born twice....
It is a Donatistic error to connect the efficacy of baptism to the quality of the minister/church. Rejecting RC baptism due to the degree of apostasy therein puts us in the unenviable position of (among other things) requiring us to run the same analysis on EVERY other church body, for consistency's sake.
Furthermore, it is hard not to conclude (when the truly catholic view of the unity of the church--militant and triumphant--is accounted for) that a metaphorical "cutting off" of RCC-performed baptism from the "body" does far worse than chronologically amputating only those persons baptized after [fill in the blank: 1000? 1550? 1845? other?]. It testifies that an innumerable host of evangelical believers who left the RCC, and whose baptism was considered legitimate--gracious
in spite of the facts--were actually mistaken, and they are accounted by us (if we consistently take this view) as never having actually admitted to the church. It even jeopardizes (conceptually) the previous baptisms of generations prior to the arbitrary cut-off date, due to the unified nature of the deathless body of Christ, the church. Thankfully, I think the PC re-thought its "historic" decision at a later opportunity.
So, "cutting off" the RCC in 1845 has the effect of also cutting off Calvin and Augustin, whether we like it or not--because they are still alive, and the church that baptized them is the RCC. It's specious to argue that: "Well, they were members of the invisible church, and that's what
really counts." No, cutting them all off is an ex post facto act of judicial discipline without due process. The fact is, that God's elect are marked graciously in baptism, no matter which church does it. And we simply don't have the right to invalidate baptisms, even of churches that have wandered from the rule of faith. We cannot pretend as if history (past) and eternity are not meaningful categories in relation to this question, and our present attitudes only affect our "forward progress."