** No bonus wager requirements were active or used
This is the only relevant aspect. If multiple accounts were made from the same computer and both used a bonus, it's reasonable to assume it's the same person attempting to abuse the bonus.
Are you positive that neither account had ever received any bonus?
No, my friend used a bonus and lost all of it because of the 35x wager requirement. I probably did at some point too (free spins count?)/
Oh, ok, then you're probably screwed. There's no realistic reason to have multiple people playing from the same computer so your play looks identical to someone who is trying to abuse a bonus. It would look better if there was some sort of circumstantial evidence that points to there being two unique users, but I'm going to guess that circumstantial stuff will make things look even worse for you. For example, did one user sign up, play, and then once the new user started playing on the site the original user never played again? Did both users play the same or similar games with the same or similar deposit amounts/bet sizing/tendencies?