Hello
No, there's no need of writing JEE for interior designing.
There are several courses which you do after class 12th. They  are:
BA (Hons.) in Interior Architecture Design
BA (Hons.) in Interior Architecture Design
BA in Interior Design
Bachelor of Design (B.Des) in Interior Design
All the best

Sorry but if you passed put in 2010 then you're not eligible for jee main paper as it's eligibility criteria say the candidate can only appear 3 time for jee mains firstly the year you passed out then the two adjacent year although in the third attempt you can't give jee advance.
Hope it helps

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