The density of the solar wind (near earth) is approximately 6 atoms per cc.
Essentially the craft would be “Sandblasted” away by the matter-antimatter annihilation occurring on the surface of the craft in whichever direction it was traveling.
The exact amount of time required to compromise the hull of the craft would be difficult to determine due to not knowing the density of the hull’s material, and relative direction of space craft travel in relation to the solar wind.
Think of a bicyclist traveling with a tail wind, he encounters much less force from the air resistance (in front of him) if the air in back of him is going in his direction (essentially causing fewer interactions of the air molecules against the rider).
The same concept would be applicable in your scenario. So calculating the time would be difficult due to the fact that there would be fewer anti-particles impacting the hull than if the craft were “Bucking” the solar wind.
The length of time for the crew to survive would also be difficult to determine for the same reason.
But since matter-antimatter annihilation produces gamma rays (which is ionizing radiation) and neutrinos. The crew would be at serious risk.
However, long before the effects of radiation sickness killed the crew, the craft would be compromised by loss of hull integrity.
As for the radiation hitting the planet and causing damage: that would probably not be an issue due to the protective effects of the planets magnetosphere and the thickness of the atmosphere; along with the fact that neutrino interactions with matter are somewhat rare, and not usually a source of concern health wise.
The energy released follows the E=mc2 equation, so again it depends on “with the solar wind”, or “bucking” the solar wind.
Density of solar wind - http://hypertextbook.com/facts/2005/RandyAbbas.shtml
Antimatter/Matter mass energy conversion - https://en.wikipedia.org/wiki/Antimatter
Magnetosphere - http://web.physics.udel.edu/research/space-physics/solar-wind