The objective of the present work is to study the target electronic and nuclear interactions produced when a H + 2 ion traverses classical plasma matter. Electronic interactions are treated by means of the dielectric formalism while nuclear interactions are dealt within the classical dispersion theory through a Monte Carlo computer code. The interactions through plasma electronic medium among close ions are called wake forces. We checked that these forces screen the Coulomb explosions of the two fragmented protons from the same H + 2 ion decreasing their relative distance in the analysed cases. These forces align the interproton vector along the motion direction. They also tend the two-proton energy loss to the value of two isolated protons when at early times it is rather larger. Nevertheless most parts of these wake effects cannot be corroborated experimentally as they are masked by the projectile collisions with target nuclei in our numerical experiment. These collisions cancel the screening produced by the wake forces, increasing the interproton distance even faster than for bare Coulomb explosion. Also they misalign the interproton vector along the motion direction and contribute moderately to increase the energy loss of the fragmented H + 2 ion. These nuclear collisions effects are more significant in reducing projectile velocity.