Olympus Mju-1 doesn't turn on

I just found an Olympus Mju-1 which wasn’t used for more than 10 years. After that, I have dropped it once from a height of around 80cm. Then, I bought a new battery and put inside, it still can turn on and seems like all good, but I’m not sure it still functions well or not. So, I just left the battery inside and kept it, because I can’t find any film in stores near me. Then recently, after maybe 4 months, I went to try to use it and realised it doesn’t turn on. But the new battery inside didn’t rupture, and the compartment is all clean.

My question is, do you think the camera will work if I change to a new battery? If not, what can I do, other than changing the parts in it, because the local camera repair store said they didn’t have any parts for point-and-shoot cameras.