Hi there, thanks for replying.
I finally managed to get a picture on my TV through my HDMI but it was a very odd process. When I kept getting the frozen startup screen, i turned the laptop back off. When I turned it back on, I waited about 15 seconds before plugging the HDMI back in, this time it showed up on my TV and was at the startup repair screen. When it had to restart following this, it went back to the frozen startup screen. So I turned it off again, and then waitied another 15 seconds after turning it on to plug in the HDMI. This time I was greeted with the log in screen and now it shows up perfectly on my TV. The screen on the laptop is still blank so that's the issue as of right now.