The rivet called out, .....42BS...., only has a grip length of 1/8". Seems you would want something longer, like a 46 (3/16" grip) or 48 (1/4" grip). This size might work on 0.020" aluminum but it looks a little short for 3/32" plywood. I would insert the rivet after applying a little epoxy/flox, pull just enough to start a flare on the end (or maybe not pull at all) and knock the mandrel out.
Ken Jones Sharonville, OH