I tend to think the whole thing is a bit chicken and egg, if you see what I mean.
Trust needs to be earned. And I think if one of a couple tends to hide things a little then there is surely genuine grounds for suspicion by the other. I think it is only natural for April to be a little suspicious, under the circumstances.
My wife checks my phone, for example, periodically and I don't mind as I have nothing to hide. And it shows she cares. It can prove a little difficult if there is something I want to keep from her (birthday present etc) but I have to work around that. She uses my phone at will anyway and I certainly don't lock it or keep it hidden away or permanently in my pocket. If I refused her access I know it would p1ss her off and I wouldn't want to do that.