reeeeka, If you want to practice social work you will most likely need a social work degree. The university where I got my bachelor's degree in SW( and where I am now getting my MSW) offered only the last two years of study towards the BSW. So, like you, I took my general university required courses at another school and transferred to my current school for my Jr. and Sr. years and grad. school. You may want to look for schools in your area that have a SW degree and see which of your credits will transfer.
That said, if you plan on working as a social worker you need to be prepared to provide support and encouragement and be a staunch advocate for people who have suffered and are probably still suffering. You will need to deal with and have true compassion for people who have engaged in behavior out of desperation or just from having been mistreated, behavior that a person might find disturbing. You will have clients who have suffered in ways that you cannot imagine. You will have clients like the mom whose baby was found floating in a lake in a plastic bag.
SW is not a profession to go into lightly; the work is rewarding and also difficult, the pay is not great and you will be exposed to a great deal of human suffering and it's accompanying baggage. I happen to LOVE it, but it is not the right job for everyone. I am not saying that it isn't the right job for you, but you should know what you might be getting yourself into.
I am sure that, whatever field you chose, there are many schools out there that will accept your transfer credits. So if you choose to get a university degree, you are already on the way. Good luck!