Hi Chandal,
start with the support document to be sure all these have been tried:
If your Apple TV remote isn't working - Apple Support
-A physical examination of the Siri remote shows no damage?
The most basic check I’d suggest is unpair the Siri Remote and temporarily put it away. Then on your iPhone or iPad, bring up control center using the top right swipe down and press the remote app. Now control your AppleTV with the remote app and perform the actions that may/would cause the unintended on screen events to occur.
-Did the same issues occur with the Siri remote unpaired and out of the control loop?
If they do not occur then I’d open a case with Apple Support. If only a month old, the Siri remote may need repair or replacing (I’d let them know you performed the actions noted above).
If the same unintended on screen events occurred, based on how strange these events are and the device being only a month old, I’d also go to Apple Support for the AppleTV box itself.