Science

Well, congratulations on your excellent result.
Based upon the previous year's cutoffs and current year's result, I'm sure that you will definitely get admission in B.Com (Hons.) in GCCBA. Initially, you might have to wait for the second list but you will get it in end.

Check out the college predictors below for details:
Andhra Pradesh EAMCET:
https://www.shiksha.com/b-tech/resources/ap-eamcet-college-predictor
TS EAMCET:
https://www.shiksha.com/b-tech/resources/ts-eamcet-college-predictor

Yes, you can get seat in AU without appearing in AUCET.
Please visit audoa.in.

Yes, you can get a seat in Andhra University.

Andhra University announces management quota seats, please check this link:
audoa.in

BBA is a Bachelor of Business Administration and if you want to opt for this you should have some knowledge or interest in business management. Whereas, in B.Tech you have the opportunity to create something new and interesting. B.Tech requires analytical skills and a good problem solver along with some mathematical skills. Hence think twice before opting for any course.

Yes it is. There are various career options like Agricultural Engineer. Many people don't think of farming as being sophisticated. .
Animal Scientist. .
Biochemist and Biophysicist. .
Biomedical Engineer. .
Epidemiologist. .
Food Scientist and Technologist. .
Microbiologist. .
Soil and Plant Scientist.

Yes, you are eligible. A general Maths can opt general Science branch easily by just fulfilling the educational qualification of the course.