Camera power problems?

I had just bought my camera a couple months ago. I rarely use it (more for special occasions). It has worked well up until now.

My battery takes forever to charge even though it's supposed to only be 100 minutes. When it's finished charging, I put it in my camera and try to turn it on. The screen turns on with the Fujifilm logo and the lens folds out like normal. But then the screen goes black like it's lost power and the lens stays folded out.

Sometimes the screen goes from the logo to a completely white screen and stays like that. During the white screen, I can't turn the camera off using the power button and have to physically take out the battery.

Thank you for your help. :)