I was made redundant a few months back so I went thru a similar experience. There should be no problem in claiming your redundency based on the lengh of time of your first job there. Since the second job is part time for a couple of weeks it will have a negligable effect on your redundancy claim. The company cant just do what they want and the second job dosent ngate theire legal responsibilities regarding the first job. Send off the redundancy form and Im sure things will be ok. Good luck.