Will i get banned for being bad player?

[Gurgeh]

Will i get banned for being bad player when i occasionally die in any normal alliance raids, normal raids, normal trials and dungeons even i know what to do in boss mechanics?

Hmmm. Banned no. You should never have a problem with normals, or any of the standard/casual content you mention.
I suppose people could add you to their personal black list, but that can't keep you out of a Duty Finder instance they are in.
It could mean they use that blacklist as black book of people they don't want to be in a high end PF with. But to take exception to someone because of how they are in a normal content they'd have to be extreme. Kind of looney extreme. And they'd be doing you a favour, you don't want to be in a PF they are in, and they would be a minority so small it's not going to impact you.
If anyone says that in XIV chat log though, do everyone a favour and report them for harassment.
I doubt it will make a difference on its own, but if they are a dickhead a lot, they'll get reported a lot, and when they finally step too far out of line, I'd like to think they will get less benefit if the doubt.