I am honesty people for better or worse.

For better or worse, I’m an honest person.
(It’s not a rule but many people will put ‘for better or worse’ at the front of the sentence.)

I am not good at lieing, so I sometimes say with too much honesty.

I’m not good at lying. If anything, sometimes I’m too honest.
(You can use this to show contrast. Not only are you not a good at lying, actually, you’re too truthful).

I've thought I should stop it, so now I am a silent person.

I figured I needed to stop this, so I’m a silent person now.
[“I’ve thought about stopping it, but I haven’t” (The phrase “Ive thought about…” usually ends with the opposite.) ]
Bonus: Keep my thoughts to myself <- Be silent.
1. I figured I should keep my thoughts to myself, so I’m quiet now.
2. I figured I needed to stop this, so now I keep my thoughts to myself.

I'm not sure whether it is right or not.

Correct. But, as a listener I want to know a bit more.
For example: ~ is the right decision or not. ~right attitude or not. ~right approach or not.

I am an honesty peoplerson, for better or for worse.

I am not good at lieying, so I sometimes I say things with too much honesty.

The other correction is right, too. This is another way to say it.

I've thought I should stop it, so now I am a silent person.

I'm not sure whether ithat decision is right or not.

This correction makes what you're talking about (your decision to be a silent person) more clear.

I am an honesty peoplerson, for better or worse.

I am not good at lieying, so I sometimes saypeak with too much honesty.

I've thought I should stop it, so now I am a silent person.