Your employer will take into account your length of service when calculating redundancy pay and notice. An employee’s past record may be relevant if the employer is considering particularly good service or loyalty, or misconduct issues, when choosing what it wants to offer.
The employer is under no obligation to offer a minimum or maximum additional compensation on a settlement, so each employer is likely to take into account various different factors which sometimes includes prior record. It may also be relevant to the reference given, though most employers will take care to give a factual reference only.