Glass Splashback adhesive sealant, a neutral clear solvent-free silicone is the best it gives a strong bonding strength and is water-resistant, so it solves all the purposes.
For sticking and pasting Arcylic two types of glues are best Weld-On 3 or Acrylic Cement. They both are solvents, they will soften the surface slightly and weld the two acrylic parts.