Goa

This is very specific questions to answer. It is better you focus on one thing, either internship or job, none of the institute focus on both the things.

Yes, you will get good colleges in Pune, Kolkata, Goa, Chennai and Bangalore. But, the chances of getting more would be in Kolkata and Pune, because with this score you can only get colleges in Pune and in Kolkata.

Yes, you will get placement if you go for WeSchool or as well as in GIM. Both are one of the best B school.

Birla Institute of Technology and Science, Goa is the only electronics engineering college in Goa. For more details check the link below:
https://www.shiksha.com/college/birla-institute-of-technology-and-science-goa-goa-other-23311

Goa College of Hospitality and Culinary Education offers programme for Bachelor's degree in culinary arts.

It depends upon your preferred branch but for getting admission in BITS Goa campus, you have to score more than 290 and for Pilani campus, you have to score more than 350 marks.

Dear Tauseef,
GIM is a premier institution with state of the art infra-structure, competent faculty with 49 full time faculty members, 20+ Student Clubs with 75+ events a year and an exotic location with its scenic backdrop makes this institute the ultimate MBA destination. The placement details are as follows:
Course Highest Average
PGDM 16.10 Lakhs 9.3 Lakhs
PGDM- HCM 17.36 Lakhs 9.7 Lakhs
The cut offs are as follows:
CAT Score - 85
XAT Score – 80

GIM does give weightage to the past academic records. However, there are other components which matter too.