With this advice in mind, I spent a night on Photoshop, downloading suitable fonts (we are not allowed to download fonts on the school computers, which meant that we had to use the default fonts) until I found a font that looked good on the poster.
Here is the final poster:

Although we didn't change much, the poster now looks much more professional and the font that I chose aptly conveys the jumbled mess that is Lucy's mental state. It is rare that a film poster uses a stock font, so it was important that we changed it to make it look better. Both Hayley and I are happy with this draft of the poster, so I don't think that we will be doing anything more to it. Instead, we will focus on getting audience feedback on the film and finishing the final cut before the deadline.