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Hello Deepika,
None of the top-ranked MBA colleges give direct admission to anyone; one needs to qualify both the particular entrance exam and interviews (if shortlisted for them) to get selected.

To get into a good college you need both. Especially for management programs. The second question kind of depends on what you prefer. Australia has a better climate than UK, I guess. But it's all upto you.

Hi, it's a great option to choose the banking sector after your graduation. There are a plethora of opportunities in this sector. You can join a good institute or course that will offer you a good base about the banking sector. You can also check out TKWs IBF, an institute that offers a well planned curriculum for the BFSI sector.

Yes, MAT score is valid for 1 year.

Hi,
If you're having a BSc degree in mathematics, only then will you get admission into M.Sc Mathematics as maths is the main subject and is required in B.Sc final year, if a candidate wants to do M.Sc in the same.
In addition, you must first check with the cutoff percentage as yours is a bit low.

Not always a great idea to switch education streams radically extreme directions, however if it is your passion go for it. Most of the jewelry design courses are skill courses and mostly anyone with an interest in the field can go for those. However, if you are looking at a serious career in the direction of finance (since you are a commerce graduate), I can recommend 2 courses which can help you make a distinct career for yourself.
Career opportunities include Big4 (Deloitte, KPMG, PwC, E&Y), top global audit firms (BDO, Grant Thornton), US MNCs (Accenture, Cognizant, Genpact) and many Indian MNCs listed in the US markets.