Battery cover for sony tv remote controler

Living with children is hard not only for fathers, but also for material things.... After surviving a few drops to the floor, the battery cover on my TV remote broke. I could not leave the remote with the batteries exposed while my daughters were around, so I decided to copy the broken original part and 3D print it in my Prusa Mini+. After CAD design and two tests, here is the one that fit my TV remote the best.

I'm quite new to this 3D printing so I decided to use supports on the following parts: 

Please, if you find a better way to print it with out supports please let me know in the comments. 

Last but not least, the exact TV controler model is the RMT-TX200E, before printing check if fits your remote controler because it may have little differences that you will need to change on the step file.