No. You have to purchase those separately. I purchased another tripod so that I could had access to both handles at all times. Swapping the tripod from the bottom to the top is a pain so much easier to have both attached, and the added weight is negligible. BTW this is the best gimbal I have ever owned. The Ronin S is heavy and way overrated, Zhiyun Weebill S all day. 

Yes, it can be mounted on top of a tripod and will fit 90% of tripods. 

Yes to both 

Its come with its own and it's 1/4" screw quick shoe plate. 

this quick release plate could not be used on this ballhead. and if you need quick release plate for TM2324, you can contact us by amazon messenger or send e-mail to us, we could send you a free replacement. and its length is 2.36inches, width is 1.46inches.