Model#25360722000 is this a freezer or fridge? kenmore

No, only a select few catering appliances can be a fridge or a freezer depending on the temperature setting. Yours is a freezer.

https://www.google.com/search?q=kenmore+chest+freezer+253.16502101+specs

..

Recheck the model number on the fridge or try the Manufacturer web sites. A lot of fridges share the same parts, you should find a Kenmore model that is listed with the same part.

What is the model number?

Please : - Clean up your freezer - set the thermostat to middle - check the fan for malfunction
There are many things that cause your freezer work abnormally.

Don't panic about the hot sides of the freezer. It is quite common on all the freezer (make/model).

After defrosting, your removing the full temerature out of the system. It will take atleast 30 ~ 60 mins to come back to set temperature. This again depends on the load inside.

Possible defrost problem.
For parts 1-899-673-1262

check door seals, also check vent direction, a dial or lever in fridge, it adjust how much air goes to fridge and freezer

It may be a symptom of air entering to the freezer, so the seal may have issues. Another possible cause if the ventilator in the freezer is not working anymore. It depends of the Fridge model number that you have.

The light indicates the need for a new battery (9V)

The fan behind the molding is hitting some ice build up and causing the sound. Sounds like the timer for the defrost isn't working. Try to turn off the unit for few hours or take off the molding in the freezer compartment and remove the ice build up with hair dryer.