B.E.

Yes, with 76 percentile in JEE Mains and belonging to OBC category, you are eligible to appear for JEE Advanced. However, to be eligible for JEE Advanced. You must also satisfy other eligibility criteria such as being among the top 2.5 Lacs candidates in JEE Mains and meeting other criteria related to age, academic qualifications, etc. As for the expected rank with 76 percentile in JEE Mains, it is difficult to predict the exact rank as it depends on various factors such as the difficulty level of the exam, the number of candidates appearing for the exam, and the overall performance of the candidates. However, based on the previous year's trends, a percentile of 76 may roughly translate to a rank between 1,50,000 and 2,00,000. Please note that these are only rough estimates, and the actual rank may vary. You can use the JEE Main rank predictor available on various coaching institutes' websites to get a better idea of your expected rank based on your percentile.

SAT scores are indeed accepted for undergraduate BE/B.Tech admission under the DASA scheme in NITs. Under the DASA scheme, a certain percentage of seats are reserved for NRI/PIO/OCI students in NITs. The reservation criteria are as follows:
15% seats are reserved for applicants from the Non-SAARC countries.
2.5% seats are reserved for applicants from the SAARC countries.
27% seats are reserved for applicants from the PIO/OCI category. To be eligible for admission under the DASA scheme, the candidate must have passed the qualifying examination (12th grade or equivalent) with a minimum of 60% marks in aggregate or 6.50 CGPA on a 10-point scale or equivalent grade in the qualifying examination. For the admission process, DASA uses SAT scores (Scholastic Assessment Test) for shortlisting candidates. The candidates need to score a minimum of 1440 out of 1600 in the SAT Maths and Reading & Writing) and a minimum of 800 out of 800 in Maths in SAT Subject Test. The final selection is based on the SAT score, choice of the programme and availability of seats.