If I connect my laptop via HDMI cable with my TV there's a mouse delay afterwards. Can I remove these and if so how?
That's probably the TV itself.
Most devices have a visual post-processing that takes some computing time. You notice that in media where you are only spectators, not, because the sound is mitverzögert accordingly.
But if you make inputs yourself, it just stands out. Many also notice this when playing with the console.
Most TV's have a gaming mode or the postprocessing can be switched off.