If they decide you have 2 kids you might not be entitled to anything if you are not genuinely seeking employment. If you are single you may be entitled to one parent family allowance.
Otherwise, if you are job seeking the welfare officer may decide an exclusion period of up to 9 week (because you left your last job.) One of the problems, the welfare officer will write to your previous employer asking the reason you left and whether they would be willing to take you back.
It seems to me you are not available for work, but this is a decision for the welfare officer.