BCA

I think no, you cannot as arts background can't apply for BCA. If you have Informatics practices (IP). So, you can apply because their entrance exam have questions related to maths and some computers application as in C+ Java SQL. So, for you, it's very difficult to pursue BCA because of arts background. But you may opt for other course as in English hons. Language course as in French Spanish Hons.
Best of luck.

Total fee is 1.90 lacs.

Pay : 85% of your time during each semester.
Return : And 100% of 85% is towasteyour time.
P.S. : Join if you are ready to waste your life and I assure you won't be failing to get reward of failure and boredom in it.
The rest of the college if doesn't have an attendance criteria is a better option to waste your time.

Top 5 institutions in Ernakulam district (Kerala) for BCA are mentioned below:
1) JAI BHARATH ARTS AND Science COLLEGE PERUMBAVOOR - [JBASC], ERNAKULAM
2) ST TERESA'S COLLEGE (AUTONOMOUS), ERNAKULAM
3) SACRED HEART COLLEGE - [SH] THEVARA, ERNAKULAM
4) BASELIOS POULOSE LL CATHOLICOS COLLEGE - [BPC], ERNAKULAM
5) ILM COLLEGE OF ARTS AND Science, ERNAKULAM
Regards.

That's a good question, you can go with your own choices and your own preferences. If you are sure that you can do well by self-studying (web and books) then go with it. But if you want to have a degree go for BCA now choice is yours. All the best for future.

Yes, you can definitely get seat in American University (AU) with the rank of 1454 for BCA. Last year 1500 rank scored students also get admitted so you can. Best of luck for your future.

Please refer to the link provided below for a detailed comparison between the institute for a course in BCA. You should be able to compare various features of each institute which should help you decide which institute is better for a BCA course. Regards. https://www.shiksha.com/resources/college-comparison-285443-279090.