Hello, yogesh walokar.
Welcome to Microsoft Community.
I have some ideas.
I guess it should be caused by the driver.
This is my first idea.
Open the properties of the Bluetooth device in Device Manager -> Details -> Class Guid -> Copy the value (to find the needed registry item)
Win+R to open Windows Run -> Type "regedit" to run -> Open the registry editor -> Navigate to the following directory.
\HKEY_LOCAL_MACHINE\SYSTEM\CurrentControlSet\Control\Class\{Guid}
On the right side, check if there are “Upperfilters” and "Lowerfilters". If they exist, please delete them.
Disclaimer: Generally, modifying registry subkeys or work group is intended for advanced users, administrators, and IT Professionals. It can help fix some problems, however, serious problems might occur if you modify the registry incorrectly. Therefore, make sure that you follow these steps carefully. For further protection, back up the registry before you modify it. Then, you can restore the registry if a problem occurs. For more information about how to back up and restore the registry, click How to back up and restore the registry in Windows - Microsoft Support to view the article.
How to back up and restore the registry in Windows - Microsoft Support
In Device Manager, right-click the Bluetooth device -> Uninstall device (check "Delete the driver software for this device") -> then restart
-> Install the driver (you can wait for Windows to install automatically, if it doesn’t install automatically then install manually.)
This is my second idea.
For the drivers, I have used the device information you provided to search on the HP official website, but various signs indicate that this laptop is old.
If possible, I suggest you contact HP technical support because after you installed the drivers provided by HP, it showed that the digital signature could not be verified.
(Normally, laptops should use the customized drivers provided by the laptop manufacturer.)
Have you tried disabling forced digital signature in the Windows recovery options?
Here is a document about entering Safe Mode in Windows recovery options.
Start your PC in safe mode in Windows - Microsoft Support
This is a document for entering Safe Mode, and during the process of entering Safe Mode, you can find the option to disable forced driver signing.
Please try disabling the forced driver signing and then see if the Bluetooth device works normally.
The testing steps are as follows:
Normal startup of the computer -> Uninstall all Bluetooth drivers in Device Manager -> Restart the computer -> Install the Bluetooth driver provided by HP (make sure you have searched for your laptop model) -> Then restart, disable forced driver signing -> Test
Additionally, you might also want to try third-party driver management software. Due to community rules, I can't provide this content.
But you can search for it on the internet yourself, or through recommendations from friends.
If there are any updates, please feel free to reply.
Best regards.
Malygos - MSFT | Microsoft Community Support Specialist