B.Com

I will give you my views based on the assumption that DU is the only option for you.
B.Com (h) opens up accounting avenues. You can pursue CA along with it but then you will have to do a correspondence course as the new rule of DU does not allow regular B.Com (h) students to pursue CA too.
You must have heard about the Big4: KPMG, Delloit, E&Y, PwC. If you dream of working in these audit companies then this is the apt choice.
My personal advice would be to opt for a regular course if you are getting good colleges like SRCC,LSR or so. Believe me the experience you get there is unmatched and you will cherish it forever.
Economics (hons) does not have accounts in its syllabus. You will get to read subjects like Macro eco, Micro eco, International eco, Stats, Maths, History of Indian eco, environmental eco etc. If you want to do research based work or policy making and/or wish to become a college professor then this is the right choice. Masters in economics is the most preferred choice after this course which is also mandatory for becoming a professor or getting into Indian Economic Services (IES).
There are three other courses that you have not mentioned but I think they might interest you. BBE, BBS, and BFIA. DU conducts an entrance exam for admission to these courses. The final merit list is drawn on the basis of Boards exam marks, entrance test score (BBE) + GD-PI score (BBS, BFIA).

How to Get Admission in Bachelor of Science [B.Sc] (Agriculture)
Admission in universities or institutes offering B.Sc Ag is done basically in two modes. Either on the basis of the marks obtained in the qualifying examination (Direct Admission) or written exam conducted by the university/institution that offers the degree.
The details on how to apply for B.Sc. degree in Agriculture can be collected from the authorized website of the institution. The information about course details and available number of seats can also be collected from here. The application forms can be obtained either through the college office or from the concerned web portal.
Entrance exams for B.Sc. Agriculture-
ICAR Entrance Exam (ICAR-AIEEA)- It is an agriculture entrance exam conducted by Indian Council of Agricultural Research (ICAR) for admission to 15% seats in Agriculture Universities in Bachelor Degree programs and 100% seats in ICAR Deemed to be Universities and NDRI, Karnal
EAMCET- Conducted for admissions in Agriculture colleges and universities in Andhra Pradesh
PAU Entrance Exam- Conducted by Punjab Agricultural University
KEAM- Conducted for agricultural colleges in Kerala
IGKV CET- Conducted by Indira Gandhi Krishi Vishwavidyalaya
Direct Admission in B.Sc. Agriculture-
Some colleges offer B.Sc. Agriculture admission simply on the basis of marks obtained in qualifying exam. Direct admissions in B.Sc. Agriculture are solely based on merit prepared by university/institute offering course.

There are many short courses that you can do along with B.Com. You can do certification courses in IT. You can also do part-time Diploma courses during the weekend. There are many short courses available like Diploma in financial management, Diploma in banking.
I would suggest the below options:
1. NCFM certifications for Stock Market
2. Tally software course
3. Good computer skills course, which includes typing and MS Office
4. A Foreign language can be opted.
5. Advanced Diploma in Financial Accounting & Taxation
6. Certificate in Accounting Technicians (CAT)
7. Diploma in Accounting & Auditing
8. Diploma in Banking & Insurance Management
9. Diploma In Stock Analysis and Trading (DSAT)
10. Diploma in GST Rules & Procedures

The field of accounting is challenging and exciting. It is the field where one becomes familiar with the very finer points of business. So, it becomes a platform for many senior level positions to start with it. The job of accountant is always in demand. Taxes, audits, and book keeping and overall the business scandals keep the demand of accountants hot.
The discipline of Accounting revolves around the mechanism of business track, its income and assets. The domain of accounting encompasses activities like preparing of financial statement, costs computing, mergers & acquisition, recording of business transaction, quality management, tax strategy, etc.
Options after B.Com:
Chartered Accountant (CA)
Most commerce graduates pursue CA, which is a lucrative career option since it renders them with multiple opportunities be it working as a chartered accountant in a big firm or working as an auditor (both internal and external). As an auditor you will need to work with several clients and check financial statements; chances are with a good CA rank you can enter the top-most banks in the world.
You need to clear three examinations for a CA degree Common Proficiency Test (CPT), Integrated Professional Competence Course (IPCC) and Final CA which are conducted by the Institute of Chartered Accountants (ICAI). CPT is an entry-level test; a commerce graduate can directly apply for IPCC exam and after completing its two groups can move to Final CA. Once you complete all levels of Final CA, Congratulations! You are a registered CA degree holder now. A CA can have a great career as an investment consultant or as a fund manager in the long run.
B.Com graduates with a CPT score can opt for a Chartered Financial Analyst (CFA) degree abroad at a recognized university; it comes with some prerequisites which you have to fulfil.
Masters of Commerce (M.Com)
This is a two-year programme. Fresh graduates or students who have completed the Final CA programme are eligible for this degree. This is a broad field to study, which covers areas like accounting, actuarial sciences, economics, statistics, finance and others. M.Com graduates are usually employed in fields like marketing, project management and others. You can also opt for your PhD after completing M.Com.

Hello,
If you are sure that you want to make your career in finance field then M.finance makes more sense.
MBA is a broader course after which you can opt for operations, risk profiles, finance or marketing.
So, all in all, if you are not sure about the next step, MBA will be a safer option.
If you are fine with finance and don't want to change your decision go for M.finance.
You can also opt for MBA in finance. The difference between Masters in financial accounting and an MBA in finance would be the course structure. Masters in accounting will have in-depth knowledge of subjects like accounting wherein MBA will give you an investment banking, accounting and finance perspective.
You can also think and explore other options like a CA or a CFA. Just a tip, be very sure of the colleges you are applying for.
Thanks.
All the best.