B.Tech

I guess, your rank is 38k, not 380000. Yeah, you will get admission but you can choose lower branch of high rank colleges and change after 1st year.

Well, it basically depends on college to college. If you want to pursue from NIT, you should get better marks in JEE Mains and if you want to do it from IITs, you should qualify JEE Advanced with great marks. Rank varies every year but if you get good marks, there may be a chance to get this.
Good luck.

yes u will get go through the website of college you want to apply

For fee details, I request you to contact the college officials.
Link: http://www.pec.edu/contactus.html

It's the UPSEE scorecard. You have to score the minimum marks to fulfil the criteria. It has no relation with your 12th score.
Best of luck!

Why do you want to do Bachelors again? Why don't you go for Masters? If you are planning to go to a college in the US (MIT or any other), then go for Masters only. Don't waste 4 precious years of your life just for a brand name in your resume. There is absolutely no point in trying to go for Bachelor's degree again. Also, in the end your Bachelors application might be declined.

It is really difficult to get a seat with this rank, I have 491 rank this year in IPU Biotech (B.Tech), and I am also not sure whether I'll get admission or not. Just 17 seats are reserved for Delhi general category.