My Database is crashing

database errors started to happen i saw messages from WT3 plugin and jetpack plugin.

I recommend reporting the issue at these plugins’ dedicated support forums so its developers and support community can help you with this.

https://wordpress.org/support/plugin/w3-total-cache/
https://wordpress.org/support/plugin/jetpack/

Is there some way i can be sure that its related to these plugins

You may try to disable all plugins, and use one of the default (Twenty*) themes. If the problem goes away, enable them one by one to identify the source of your troubles.

If you can install plugins, install and activate “Health Check”: https://wordpress.org/plugins/health-check/
It will add some additional features under the menu item under Tools > Site Health.
On its troubleshooting tab, you can Enable Troubleshooting Mode. This will disable all plugins, switch to a standard WordPress theme (if available), allow you to turn your plugins on and off and switch between themes, without affecting normal visitors to your site. This allows you to test for various compatibility issues.
There’s a more detailed description about how to use the Health Check plugin and its Troubleshooting Mode at https://make.wordpress.org/support/handbook/appendix/troubleshooting-using-the-health-check/

Also try reviewing https://www.wpbeginner.com/plugins/why-cant-i-add-or-install-plugins-in-wordpress/