I'm fairly new to After Effects and am working on a template. When I go in to edit specific layers it's fine, but when I try to watch back a composition it's tinted green.
Pink or green previews are a relatively common issue when there is an issue with the drivers for your GPU/display card. Here's one of many threads where it has been discussed in the past:
Is this a template you purchased or downloaded? Your screenshot shows a bunch of nested comps and a very long comp. Most of my comps are one shot and under seven seconds. AE is not an editing app.
We have no idea what is going on in the comp or the nested comps, no system info, and no workflow details so your green preview could be poorly compressed footage, variable frame rate footage, GPU drivers, of a hand full of other problems. Without details and system info that's the best anyone can do to help you with your problem.