I would use wood glue or contact cement. If contact cement, follow instructions and no need for pins. If wood glue then some pins to hold it while glue dries. I usually just use the little foam rollers to roll it on smooth and uniform.

Like for example this is 1/4" oak ply I contact cemented to these in-stock bare cabinets from Home Depot probably 15 years ago:

 

I have used 1/4 plywood, door skins and 3M Peel and stick veneer with contact cement as long as I remember. Never had a problem with any application.

I use a spray on contact that work great.

 

Contact cement.

 

For indoor, contact cement, though I have used PVA and powered resin. The latter require clamping which is difficult on large pieces. Sand bags work.