JEE Main

No, they are same. IIT-JEE includes two papers:
1-Mains
2-Advanced.

Dear,
For Chemistry, I would suggest you go for NCERT only. For mathematics and physics, you can refer to Engage books for reference.

You can appear next year in JEE Mains. You can also go for these exams. Other than JEE Mains and Advanced, there are many entrance exams which are conducted. Some of them are:
1. LPU-NEST
2-KIITEEE
3-UPSEE
4-SRMJEE
5-WBJEE
6-VITEEE
7-BITSAT
8-Entrance Exam for Galgotias University
9-COMEDK (you can get very good colleges through this, they are mainly in Bangalore).
10-KCET
11-MH-CET.

Dear,
It will be really tough to get any good government college. I would suggest you go for some good private colleges.

Dear,
Other than JEE Mains and advance there are many entrance exams which are conducted. Some of them are:
1-LPU-NEST
2-KIITEEE
3-UPSEE
4-SRMJEE
5-WBJEE
6-VITEEE
7-BITSAT
8-Entrance Exam for Galgotias University
9-COMEDK (you can get very good colleges through this, they are mainly in Bangalore).
10-KCET
11-MH-CET
12-HBTU-Kanpur
13-MMM-Gorakhpur.

Dear,
Other than JEE Mains and advance there are many entrance exams which are conducted. Some of them are:
1-LPU-NEST
2-KIITEEE
3-UPSEE
4-SRMJEE
5-WBJEE
6-VITEEE
7-BITSAT
8-Entrance Exam for Galgotias University
9-COMEDK (you can get very good colleges through this, they are mainly in Bangalore).
10-KCET
11-MH-CET

Dear,
It will be tough to get good government colleges but you can try for some good private colleges. I am attaching a link which will predict the best college according to your rank.
https://www.shiksha.com/jee-mains-college-predictor

Dear,
With these marks, you are not eligible for JEE Advanced. You can get a seat in IIT-Madras if you have a good rank in JEE Advanced.

There are many other exams like JEE, IPU CET WBJEE KIITEE AMUEE, SRMJEE, KCET LPU-NEST, these are the best exams that you can also opt for, apart from the exams you have suggested.

60 is the cut off marks in JEE.