The “lady in charge” gave you wrong information, which is why it is always best to first make an appointment with the priest in charge–the pastor–and give him all the facts of your situation. My guess is the lady in charge did not have all the facts, or misunderstood what you told her, or simply was trying to pretend to knowledge and authority she does not have.
RCIA is for the unbaptized, or adapted for those baptized into another Christian denomination, and is the ordinary means for them to become Catholic.
Baptized Catholics fall under different provisions in the canon law, but there is an option under RCIA to include them in the instructional and preparation portion of the process, but they do not celebrate any of the rites, other than the sacraments themselves, and those are celebrated at the age, time and place the Bishop determines for your diocese.
Separate the formal class part of RCIA from the rites, because in most parishes, due to available resources, all adults preparing for any of the sacraments of initiation–Baptism, Confirmation and First Communion–will be in the same class for their instruction, but usually non-Catholic candidates meet also at another time for what they need in addition.
Yes you can be confirmed and make first communion, yes there is a procedure, yes your parish is the place to go for this. Some Catholic Campus ministry programs also offer this, at least the classroom portion, even the sacraments are celebrated elsewhere.
Call your pastor today.
Do try to be patient and go with the flow in whatever preparation is suggested, even if you think you don’t need it. In my experience and those of the colleagues with whom I work closely, baptized Catholics who come as adults to Confirmation are among those most in need of instruction. That may not be your case, but it is common enough that at least a year of preparation is prescribed in many dioceses for adult Catholics who come for Confirmation and/or First Communion. This is because, often like OP, they have become disaffected with the Church for various reasons, and have a lot of questions that need answers, and have a lot of misinformaion to overcome. It also is because often their are marriage or lifestyle issues that also must be addressed and worked through.
A Catholic who has been baptized, but has formally defected from the Church, usually through membership in another denomination or religion, is in a special case and deserves and needs to have both their pastoral and formational circumstances recognized and addressed. He most definitely needs to confer with his pastor, no lay person is competent to give him all the care he needs.