Colleges in Mumbai

No, it is a little difficult under government quota.
Visit this link to check B.Arch colleges based upon your rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=6919840
Then visit this link for various colleges which provides you brochure:
https://www.shiksha.com/architecture-planning/colleges/b-arch-colleges-india

You are qualified in NATA and diploma for admission to Architecture course. If you are looking for a government seat, then you may submit your marks card to Government counseling office, based on which they would give you a rank card, and you may choose colleges of your choice, college allotted will be based on your rank.

You have to be qualified in NATA or IIT JEE part 2 for admission into Architecture course.

Yes, you have good chances.
Visit this link to check B.Arch colleges based upon your rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=6919840
Then visit this link for various colleges which provides you brochure:
https://www.shiksha.com/architecture-planning/colleges/b-arch-colleges-india

It looks a little difficult getting a merit seat in Rizvi.
Visit this link to check B.Arch colleges based upon your rank:
https://www.shiksha.com/b-tech/resources/jee-mains-college-predictor?utm_source=connect&utm_medium=CR_JEECP&utm_campaign=6919840
Then visit this link for various colleges:
https://www.shiksha.com/architecture-planning/colleges/b-arch-colleges-india

You should be aware that the cost of CPL Training is dependent on the type of aircraft you choose to get trained on.
Cessna 152 - Rs. 7000-8000 per hour
Cessna 172 - Rs. 9000-11000 per hour
P-16 - Rs. 15000-18000 per hour
Any candidate who gets enrolled for this professional training requires to complete 200 hours of flying, in order to get his/her CPL issued.
Hence the total cost including accommodation + food goes around 25-30Lakhs.
Bombay Flying School's fee will also be lying somewhere around this figure.

You may try for the counselling, but it may be quite difficult for you to get admission there, as you are a non-Maharashtrian, but it's really rare situation to not get admission with 116 marks in NATA, but you may try.