Hi, you should be fine in terms of your redundancy payment. It’s any notice period that is paid in lieu that affects when job seekers allowance starts but I’m assuming that you received no payment in lieu of notice if the firm went into liquidation? So I don’t think you need to worry about that.
Also, the support and any training courses that you sign up to as you described will not be repayable. These are initiatives designed to help people get back into work and are funded by the government. If you want further information on other initiatives that the government has introduced to get people into paid employment, check out the DWP website.