你说的这几条good character只适用于British citizenship的申请。
It is important to remember that failure to disclose a conviction or caution in an immigration application has to be disclosed in all future applications – as failure to disclose a previous failure to disclose can also amount to deception or false representations.
Persons convicted of an offence for which they have received a custodial sentence of less than 12 months have to wait for 7 years since the end of the sentence before they can apply for indefinite leave to remain.
Where the custodial sentence is between 12 months and 4 years, the rehabilitation period is 15 years. Persons sentenced to more than four years’ custodial sentence have no right to settle in the UK. Those who have established private and family life in the UK and cannot be required to leave the country have to apply for extension of stay.
When it comes to applying for British nationality, the applicant has to meet the Good Character requirement, which extends to all persons over the age of ten (!).