Finance

It is simple.
Step 1 - Know if you like numbers and lot of calculation and formula if number of Finance is out of your bucket.
Step 2 - Are you interested in earning money? You can't sit at one place you need to or like to interact with professionals every day, you are ready for a rigorous work, choose Marketing.
Step 3 - Do you like a stagnant life, fixed income interact with new people fresher etc. go with HR.
In simple words, when marketing is compared with Finance and HR, there is more growth in your life, but be ready for some field work ( not selling door to door ).
I assume you already know the difference between Marketing and Sales.
Marketing will fetch you more money and experience as a fresher, by the end of BBA you will be able to decide what will be your cup of tea in MBA. For me personally HR and Finance sounds very executive but at some time these things will get boring, choose wisely.

This entirely depends upon your wish, but I would suggest you to go for specialization, as it gives you more sector specific knowledge and understanding. Finance being one of the economy generator sector has bright future and ample scope for career. I have heard of a university, which offers BBA in Finance and is really good with their curriculum and exposure provided to the students. UTM Shillong, a campus of MIT Pune, offers BBA in other specialisation as well such as Hospitality, Retail and Marketing. The USP of this university is their education process, well-structured curriculum, hands-on training and better career opportunities for students. It aims at training students with in-depth knowledge and practical skills to help them excel in the field of their respective sectors. Their placement records are also better. You can check their website for further information. Good luck.