Hi,
Check that the charger’s output voltage is 19.5V DC
If it is then the laptop heating up and the battery lasting for less than 1 hour appears to indicate that the battery is failing and needs to be replaced.
Try replacing the battery and then see if the problem is still there.
Here’s the [http://h10032.www1.hp.com/ctg/Manual/c04427554|maintenance and service guide] for the laptop, taken from this [https://support.hp.com/us-en/product/hp-pavilion-15-p100-notebook-pc-series/7234915/model/7531987/manuals|webpage]
Scroll to p.65 to view the steps to remove/replace the battery.
The battery part number is 756743-001.
Search online using the part number ''only'' in the search term of your browser, to find suppliers of the part