A power spike can damage your UPS. just because it turns on, it does not mean it is working. Plug your computer into the wall outlet. does it work?
There are sometimes two terminal 120 VAC strips on the back of the UPS. One is spike/surge protection the other is spike/surge and battery protection. One side can be dead. I have seen it many times in my work.
Is your internet wired,wireless, through a router, satellite,etc? Are they working?