OP,
It is good that you want to resolve this.
Because it very much depends on who baptized you (i.e., what protestant group) more information would be needed for a priest to investigate this.
The intent is to do what the Church does. This is the typical phrase the moral theologians use when referring to the intent. Now, the catch is that while it is true that a sacrament which occurred with valid matter and form (so water making contact with the skin while the words "I baptize you/the in the name of the Father, [and the] Son and [the] Holy Ghost/Spirit") would have a presumption of proper intent, this is only true when the minister is Catholic. A Catholic minister is presumed to intend to do what the Church does-- a non-Catholic minister is not. This is why the Church investigates convert baptisms, because the intention cannot be presumed, at least, not as a blanket statement of all protestant faiths. In the case of more conservative protestants (e.g. Augsburg Lutherans) it is at least more probable but still not presumed. Do you know if the minister who administered baptism to you is still living? The best thing to do (and you can even do this yourself) would be to contact him. What the minister actually believes about baptism isn't actually the issue, as the Church teaches that even heretics can baptize validly. It's what he is intending to do by pouring the water and saying those words. Does he intend to perform a rite instituted by Christ at Christ's command? Even if his understanding of the effects of the right is erroneous, he can still intend to perform a sacred rite as Christ did.
As far as absolution from any reserved sins, traditional priests don't have the faculties to absolve them in the first place, but the necessary jurisdiction is supplied to them so you don't have to worry about that.
If you're comfortable, you can send me a PM.