And how many total multi-crew hours do you have against the number of single pilot hours?
If you are originating from an operator with whom the perspective employer is unfamiliar with then there might be a questionmark as to whether you are training risk or not. Yes, to a certain extent that can be assessed, however it is acutely more pertient given that you are a low houred B737 FO and will be competing against guys fresh out of ab initio schools for a job...
...is it just the UK you want to work in or would you consider other locations in Europe?