While the Dept can look at other years for the 13 paid contributions, you still have to have 39 contributions for the relevant year (2007), which you don't have as you were away.
For example. Person was working in 2006, and unemployed in 2007 and signing for Jobseeker's Benefit.
That person has 52 contributions for 2007, however they are credited cons only. They do meet the "39 paid or credited" cons requirement but not the "13 paid" on their 2007 record. However, their paid contributions for 2006 can be taken into account, so they would qualify as they now meet both requirements (39 paid or credited, 13 paid).
If you have no income or means, you can apply for Supplementary Welfare Allowance at the local Health Centre. It's a means-tested payment and if you qualify, you can be paid until you're ready to go back to work.