Goa

Hi Vanish,Yes, you are eligible for the BCA as in BCA you only have to develop computer applications that only needs coding. You may refer to the link below for the top colleges in Goa:
1) IIAS School of Management, Goa
2) St. Xavier's College, Mapusa
3) Rosary College of Commerce and Arts
4) Shree Damodar College of Commerce and Economics
5) For. Agnel College of Arts and Commerce
6) St. Xavier's College of Arts, Science and Commerce.

No need to attend classes in distance learning you just need to come for exam.

See, the best placement is of BITS-Goa and after that comes NIT-Calicut. But the average package of both has a lot more difference. BITS-Goa has an average pack of 3.25 LPA, whereas, NIT-Calicut offers 2.75 LPA only.

Hi Sunny
There are some Colleges which offers M.Tech in Civil Engineering (Distance Learning)
1. National Institute of Management, Mumbai | Malad West, Mumbai
View Admission Details
Post Graduate Diploma in Civil Engineering
PG Diploma Distance/Correspondence Duration - 2 years
Total Fees (INR) 25,700
2. Wisdom School of Management | Kalyan East, Mumbai
View Admission Details
M.Tech Degree Distance/Correspondence Duration - 2 years
3. International Institute of Management and Engineering | Mira Road, Mumbai
View Admission Details
M.Tech Degree Distance/Correspondence Duration - 2 years
Total Fees (INR) 1.22 Lacs.

Hello Ram,
You may refer the link below for the list of top hotel management colleges in Goa :
https://www.shiksha.com/hospitality-travel/hotel-hospitality-management/ranking/top-hotel-management-colleges-in-Goa/98-2-108-0-0.

If you are pursuing a distance education course, then it is possible otherwise you will have to start the course from beginning. I would suggest somehow completing the course from Goa by staying in a hostel or rented room.