Intermittent misfire, it sounds like there is no misfire in the Morning and drives normal?

Sometimes the car starts normally, and it sounds like there is no misfire in the morning and drives normal, I think.

On the second start before starting the car I hear chatter coming from the dashboard and then rough idle. Sometimes it goes away when I rev the car up 3,000 RPMs.

Also, when driving it gives that cough and at times misfire and then goes away
There is an injector signal female that the clip is broken on the first injector.

Can this be the cause of all the above?
Also, at times when I switch off my car a bubbling sound.