Hope to can reset the start time of pulse in some way.

Can't think of a good and easy way at the moment to make this configurable.

Add a setting “restart when Redstone high(true/false)”

That's not possible, because this is a reader aspect, not a writer aspect.

In addition, redstone clock has a bug.
You can try to modify the pulse interval & pulse length like this. (3,2),(7,5),(10,5),(12,6)...
You will find it will no longer be a pulse. always output true.

I said is the reader settings, added in the pulse settings.

In addition, redstone clock has a bug.

Please make a separate issue for this.

That's not possible, because this is a reader aspect, not a writer aspec

Or to accept the redstone strength is greater than the set value to reset the redstone clock counter.