For plastic adhesives check out Lord Fusor products.They have several different varieties for various plastics,as well as adhesion promoter and backing reinforcement material.The plastic panel should be marked on the back with type identification (ABS,PPO,GTX,PA-PPO,etc).They are avilable at auto body supply/paint stores. Here's a link:
http://www.lord.com/products-and-solutions/brands/fusor---aftermarket-repair-adhesives