Awards: un prix,
Honors: mention très bien,
For the word “achievements” do you want to say like experiences and internships or skills ?

• Awards : Récompenses
• Honors : Mentions
• Achievements : Normally, i use ‘Réalisations’. ‘Succès’ is an less used alternative. It means things you’ve managed to achieve.

In the context of a CV, here is how I would translate this words (as a french native) in order of preference:

• Awards: Prix, récompenses
• Honors: Mentions would be the correct translation, but it would feel a little weird to write “Mentions: diplomée de l’université ABC…” Because the word Mentions is use with the french Baccalauéat, like “Baccalauréat S mention bien”. I would prefer to write this kind of things in the education part.
• Achievements: Réalisations, which is more neutral than Succès, but the two are ok. Maybe you could give us more informations about the content.